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Finding the Fourth Proportional to 152,839, 210,937.26 and 85,771

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Solution

The fourth proportional to 152,839, 210,937.26 and 85,771 is: 118,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,839 : 210,937.26 = 85,771 : x
  2. Step 2: Convert to fraction form
    152,839/210,937.26 = 85,771/x
  3. Step 3: Cross multiply
    152,839x = 210,937.26 × 85,771
  4. Step 4: Simplify right side
    152,839x = 18,092,299,727.46
  5. Step 5: Solve for x
    x = 18,092,299,727.46/152,839
  6. Step 6: Final answer
    x = 118,374.89

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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.