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Finding the Fourth Proportional to 152,306.50, 209,807.40 and 129,572.68

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Solution

The fourth proportional to 152,306.50, 209,807.40 and 129,572.68 is: 178,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,306.50 : 209,807.40 = 129,572.68 : x
  2. Step 2: Convert to fraction form
    152,306.50/209,807.40 = 129,572.68/x
  3. Step 3: Cross multiply
    152,306.50x = 209,807.40 × 129,572.68
  4. Step 4: Simplify right side
    152,306.50x = 27,185,307,101.83
  5. Step 5: Solve for x
    x = 27,185,307,101.83/152,306.50
  6. Step 6: Final answer
    x = 178,490.79

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