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Finding the Fourth Proportional to 70,389, 97,136.82 and 40,581

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Solution

The fourth proportional to 70,389, 97,136.82 and 40,581 is: 56,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389 : 97,136.82 = 40,581 : x
  2. Step 2: Convert to fraction form
    70,389/97,136.82 = 40,581/x
  3. Step 3: Cross multiply
    70,389x = 97,136.82 × 40,581
  4. Step 4: Simplify right side
    70,389x = 3,941,909,292.42
  5. Step 5: Solve for x
    x = 3,941,909,292.42/70,389
  6. Step 6: Final answer
    x = 56,001.78

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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.