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Finding the Fourth Proportional to 61,398.24, 84,730 and 34,540.56

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Solution

The fourth proportional to 61,398.24, 84,730 and 34,540.56 is: 47,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398.24 : 84,730 = 34,540.56 : x
  2. Step 2: Convert to fraction form
    61,398.24/84,730 = 34,540.56/x
  3. Step 3: Cross multiply
    61,398.24x = 84,730 × 34,540.56
  4. Step 4: Simplify right side
    61,398.24x = 2,926,621,648.80
  5. Step 5: Solve for x
    x = 2,926,621,648.80/61,398.24
  6. Step 6: Final answer
    x = 47,666.21

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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.