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Finding the Fourth Proportional to 61,018.92, 91,542.96 and 31,434.48

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Solution

The fourth proportional to 61,018.92, 91,542.96 and 31,434.48 is: 47,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,018.92 : 91,542.96 = 31,434.48 : x
  2. Step 2: Convert to fraction form
    61,018.92/91,542.96 = 31,434.48/x
  3. Step 3: Cross multiply
    61,018.92x = 91,542.96 × 31,434.48
  4. Step 4: Simplify right side
    61,018.92x = 2,877,605,345.26
  5. Step 5: Solve for x
    x = 2,877,605,345.26/61,018.92
  6. Step 6: Final answer
    x = 47,159.23

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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.