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Finding the Fourth Proportional to 78,115.48, 117,214.53 and 42,602.38

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Solution

The fourth proportional to 78,115.48, 117,214.53 and 42,602.38 is: 63,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.48 : 117,214.53 = 42,602.38 : x
  2. Step 2: Convert to fraction form
    78,115.48/117,214.53 = 42,602.38/x
  3. Step 3: Cross multiply
    78,115.48x = 117,214.53 × 42,602.38
  4. Step 4: Simplify right side
    78,115.48x = 4,993,617,948.58
  5. Step 5: Solve for x
    x = 4,993,617,948.58/78,115.48
  6. Step 6: Final answer
    x = 63,926.10

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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.