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Finding the Fourth Proportional to 78,168.60, 107,873.10 and 42,358.64

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Solution

The fourth proportional to 78,168.60, 107,873.10 and 42,358.64 is: 58,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168.60 : 107,873.10 = 42,358.64 : x
  2. Step 2: Convert to fraction form
    78,168.60/107,873.10 = 42,358.64/x
  3. Step 3: Cross multiply
    78,168.60x = 107,873.10 × 42,358.64
  4. Step 4: Simplify right side
    78,168.60x = 4,569,357,808.58
  5. Step 5: Solve for x
    x = 4,569,357,808.58/78,168.60
  6. Step 6: Final answer
    x = 58,455.16

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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.