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Finding the Fourth Proportional to 230,077.71, 317,663.10 and 144,071.20

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Solution

The fourth proportional to 230,077.71, 317,663.10 and 144,071.20 is: 198,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,077.71 : 317,663.10 = 144,071.20 : x
  2. Step 2: Convert to fraction form
    230,077.71/317,663.10 = 144,071.20/x
  3. Step 3: Cross multiply
    230,077.71x = 317,663.10 × 144,071.20
  4. Step 4: Simplify right side
    230,077.71x = 45,766,104,012.72
  5. Step 5: Solve for x
    x = 45,766,104,012.72/230,077.71
  6. Step 6: Final answer
    x = 198,915.85

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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.