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Finding the Fourth Proportional to 162,389.19, 224,088.01 and 89,787.88

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Solution

The fourth proportional to 162,389.19, 224,088.01 and 89,787.88 is: 123,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389.19 : 224,088.01 = 89,787.88 : x
  2. Step 2: Convert to fraction form
    162,389.19/224,088.01 = 89,787.88/x
  3. Step 3: Cross multiply
    162,389.19x = 224,088.01 × 89,787.88
  4. Step 4: Simplify right side
    162,389.19x = 20,120,387,351.32
  5. Step 5: Solve for x
    x = 20,120,387,351.32/162,389.19
  6. Step 6: Final answer
    x = 123,902.26

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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.