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Finding the Fourth Proportional to 78,488.33, 117,663.37 and 31,136.68

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Solution

The fourth proportional to 78,488.33, 117,663.37 and 31,136.68 is: 46,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488.33 : 117,663.37 = 31,136.68 : x
  2. Step 2: Convert to fraction form
    78,488.33/117,663.37 = 31,136.68/x
  3. Step 3: Cross multiply
    78,488.33x = 117,663.37 × 31,136.68
  4. Step 4: Simplify right side
    78,488.33x = 3,663,646,569.08
  5. Step 5: Solve for x
    x = 3,663,646,569.08/78,488.33
  6. Step 6: Final answer
    x = 46,677.60

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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.