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Finding the Fourth Proportional to 281,088.80, 420,957.63 and 160,781.06

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Solution

The fourth proportional to 281,088.80, 420,957.63 and 160,781.06 is: 240,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,088.80 : 420,957.63 = 160,781.06 : x
  2. Step 2: Convert to fraction form
    281,088.80/420,957.63 = 160,781.06/x
  3. Step 3: Cross multiply
    281,088.80x = 420,957.63 × 160,781.06
  4. Step 4: Simplify right side
    281,088.80x = 67,682,013,966.49
  5. Step 5: Solve for x
    x = 67,682,013,966.49/281,088.80
  6. Step 6: Final answer
    x = 240,785.17

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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.