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Finding the Fourth Proportional to 78,658.64, 108,550.10 and 42,848.63

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Solution

The fourth proportional to 78,658.64, 108,550.10 and 42,848.63 is: 59,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,658.64 : 108,550.10 = 42,848.63 : x
  2. Step 2: Convert to fraction form
    78,658.64/108,550.10 = 42,848.63/x
  3. Step 3: Cross multiply
    78,658.64x = 108,550.10 × 42,848.63
  4. Step 4: Simplify right side
    78,658.64x = 4,651,222,635.73
  5. Step 5: Solve for x
    x = 4,651,222,635.73/78,658.64
  6. Step 6: Final answer
    x = 59,131.75

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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.