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Finding the Fourth Proportional to 160,702.23, 240,905.73 and 85,874.03

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Solution

The fourth proportional to 160,702.23, 240,905.73 and 85,874.03 is: 128,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,702.23 : 240,905.73 = 85,874.03 : x
  2. Step 2: Convert to fraction form
    160,702.23/240,905.73 = 85,874.03/x
  3. Step 3: Cross multiply
    160,702.23x = 240,905.73 × 85,874.03
  4. Step 4: Simplify right side
    160,702.23x = 20,687,545,885.19
  5. Step 5: Solve for x
    x = 20,687,545,885.19/160,702.23
  6. Step 6: Final answer
    x = 128,732.16

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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.