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Finding the Fourth Proportional to 78,602.60, 117,829.79 and 39,122.39

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Solution

The fourth proportional to 78,602.60, 117,829.79 and 39,122.39 is: 58,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.60 : 117,829.79 = 39,122.39 : x
  2. Step 2: Convert to fraction form
    78,602.60/117,829.79 = 39,122.39/x
  3. Step 3: Cross multiply
    78,602.60x = 117,829.79 × 39,122.39
  4. Step 4: Simplify right side
    78,602.60x = 4,609,782,802.39
  5. Step 5: Solve for x
    x = 4,609,782,802.39/78,602.60
  6. Step 6: Final answer
    x = 58,646.70

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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.