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Finding the Fourth Proportional to 65,175.56, 97,781.80 and 38,545.19

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Solution

The fourth proportional to 65,175.56, 97,781.80 and 38,545.19 is: 57,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.56 : 97,781.80 = 38,545.19 : x
  2. Step 2: Convert to fraction form
    65,175.56/97,781.80 = 38,545.19/x
  3. Step 3: Cross multiply
    65,175.56x = 97,781.80 × 38,545.19
  4. Step 4: Simplify right side
    65,175.56x = 3,769,018,207.63
  5. Step 5: Solve for x
    x = 3,769,018,207.63/65,175.56
  6. Step 6: Final answer
    x = 57,828.70

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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.