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Finding the Fourth Proportional to 98,457.80, 147,686.70 and 97,874.60

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Solution

The fourth proportional to 98,457.80, 147,686.70 and 97,874.60 is: 146,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,457.80 : 147,686.70 = 97,874.60 : x
  2. Step 2: Convert to fraction form
    98,457.80/147,686.70 = 97,874.60/x
  3. Step 3: Cross multiply
    98,457.80x = 147,686.70 × 97,874.60
  4. Step 4: Simplify right side
    98,457.80x = 14,454,776,687.82
  5. Step 5: Solve for x
    x = 14,454,776,687.82/98,457.80
  6. Step 6: Final answer
    x = 146,811.90

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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.