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Finding the Fourth Proportional to 125,870.64, 173,691.12 and 78,106.56

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Solution

The fourth proportional to 125,870.64, 173,691.12 and 78,106.56 is: 107,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,870.64 : 173,691.12 = 78,106.56 : x
  2. Step 2: Convert to fraction form
    125,870.64/173,691.12 = 78,106.56/x
  3. Step 3: Cross multiply
    125,870.64x = 173,691.12 × 78,106.56
  4. Step 4: Simplify right side
    125,870.64x = 13,566,415,885.75
  5. Step 5: Solve for x
    x = 13,566,415,885.75/125,870.64
  6. Step 6: Final answer
    x = 107,780.62

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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.