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Finding the Fourth Proportional to 144,681.57, 217,355.85 and 138,702.96

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Solution

The fourth proportional to 144,681.57, 217,355.85 and 138,702.96 is: 208,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,681.57 : 217,355.85 = 138,702.96 : x
  2. Step 2: Convert to fraction form
    144,681.57/217,355.85 = 138,702.96/x
  3. Step 3: Cross multiply
    144,681.57x = 217,355.85 × 138,702.96
  4. Step 4: Simplify right side
    144,681.57x = 30,147,899,768.32
  5. Step 5: Solve for x
    x = 30,147,899,768.32/144,681.57
  6. Step 6: Final answer
    x = 208,374.15

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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.