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Finding the Fourth Proportional to 137,882.72, 190,297.32 and 77,457.98

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Solution

The fourth proportional to 137,882.72, 190,297.32 and 77,457.98 is: 106,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.72 : 190,297.32 = 77,457.98 : x
  2. Step 2: Convert to fraction form
    137,882.72/190,297.32 = 77,457.98/x
  3. Step 3: Cross multiply
    137,882.72x = 190,297.32 × 77,457.98
  4. Step 4: Simplify right side
    137,882.72x = 14,740,046,006.61
  5. Step 5: Solve for x
    x = 14,740,046,006.61/137,882.72
  6. Step 6: Final answer
    x = 106,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.