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Finding the Fourth Proportional to 159,705.60, 239,266.80 and 129,962.40

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Solution

The fourth proportional to 159,705.60, 239,266.80 and 129,962.40 is: 194,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,705.60 : 239,266.80 = 129,962.40 : x
  2. Step 2: Convert to fraction form
    159,705.60/239,266.80 = 129,962.40/x
  3. Step 3: Cross multiply
    159,705.60x = 239,266.80 × 129,962.40
  4. Step 4: Simplify right side
    159,705.60x = 31,095,687,568.32
  5. Step 5: Solve for x
    x = 31,095,687,568.32/159,705.60
  6. Step 6: Final answer
    x = 194,706.31

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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.