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Finding the Fourth Proportional to 219,912.71, 329,875.20 and 77,737.88

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Solution

The fourth proportional to 219,912.71, 329,875.20 and 77,737.88 is: 116,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,912.71 : 329,875.20 = 77,737.88 : x
  2. Step 2: Convert to fraction form
    219,912.71/329,875.20 = 77,737.88/x
  3. Step 3: Cross multiply
    219,912.71x = 329,875.20 × 77,737.88
  4. Step 4: Simplify right side
    219,912.71x = 25,643,799,537.26
  5. Step 5: Solve for x
    x = 25,643,799,537.26/219,912.71
  6. Step 6: Final answer
    x = 116,609.00

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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.