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Finding the Fourth Proportional to 98,295,297.60, 147,726,381.60 and 85,824,148.80

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Solution

The fourth proportional to 98,295,297.60, 147,726,381.60 and 85,824,148.80 is: 128,983,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,295,297.60 : 147,726,381.60 = 85,824,148.80 : x
  2. Step 2: Convert to fraction form
    98,295,297.60/147,726,381.60 = 85,824,148.80/x
  3. Step 3: Cross multiply
    98,295,297.60x = 147,726,381.60 × 85,824,148.80
  4. Step 4: Simplify right side
    98,295,297.60x = 12,678,490,956,123,982
  5. Step 5: Solve for x
    x = 12,678,490,956,123,982/98,295,297.60
  6. Step 6: Final answer
    x = 128,983,697.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.