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Finding the Fourth Proportional to 152,654.20, 228,981.30 and 99,510.10

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Solution

The fourth proportional to 152,654.20, 228,981.30 and 99,510.10 is: 149,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,654.20 : 228,981.30 = 99,510.10 : x
  2. Step 2: Convert to fraction form
    152,654.20/228,981.30 = 99,510.10/x
  3. Step 3: Cross multiply
    152,654.20x = 228,981.30 × 99,510.10
  4. Step 4: Simplify right side
    152,654.20x = 22,785,952,061.13
  5. Step 5: Solve for x
    x = 22,785,952,061.13/152,654.20
  6. Step 6: Final answer
    x = 149,265.15

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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.