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Finding the Fourth Proportional to 78,374.49, 108,157.01 and 42,565.11

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Solution

The fourth proportional to 78,374.49, 108,157.01 and 42,565.11 is: 58,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.49 : 108,157.01 = 42,565.11 : x
  2. Step 2: Convert to fraction form
    78,374.49/108,157.01 = 42,565.11/x
  3. Step 3: Cross multiply
    78,374.49x = 108,157.01 × 42,565.11
  4. Step 4: Simplify right side
    78,374.49x = 4,603,714,815.10
  5. Step 5: Solve for x
    x = 4,603,714,815.10/78,374.49
  6. Step 6: Final answer
    x = 58,739.97

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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.