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Finding the Fourth Proportional to 78,442.77, 108,251.70 and 42,632.77

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Solution

The fourth proportional to 78,442.77, 108,251.70 and 42,632.77 is: 58,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.77 : 108,251.70 = 42,632.77 : x
  2. Step 2: Convert to fraction form
    78,442.77/108,251.70 = 42,632.77/x
  3. Step 3: Cross multiply
    78,442.77x = 108,251.70 × 42,632.77
  4. Step 4: Simplify right side
    78,442.77x = 4,615,069,828.21
  5. Step 5: Solve for x
    x = 4,615,069,828.21/78,442.77
  6. Step 6: Final answer
    x = 58,833.59

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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.