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Finding the Fourth Proportional to 78,262.86, 108,001.94 and 42,452.11

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Solution

The fourth proportional to 78,262.86, 108,001.94 and 42,452.11 is: 58,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262.86 : 108,001.94 = 42,452.11 : x
  2. Step 2: Convert to fraction form
    78,262.86/108,001.94 = 42,452.11/x
  3. Step 3: Cross multiply
    78,262.86x = 108,001.94 × 42,452.11
  4. Step 4: Simplify right side
    78,262.86x = 4,584,909,754.83
  5. Step 5: Solve for x
    x = 4,584,909,754.83/78,262.86
  6. Step 6: Final answer
    x = 58,583.47

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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.