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Finding the Fourth Proportional to 125,178.92, 172,763 and 71,451.64

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Solution

The fourth proportional to 125,178.92, 172,763 and 71,451.64 is: 98,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,178.92 : 172,763 = 71,451.64 : x
  2. Step 2: Convert to fraction form
    125,178.92/172,763 = 71,451.64/x
  3. Step 3: Cross multiply
    125,178.92x = 172,763 × 71,451.64
  4. Step 4: Simplify right side
    125,178.92x = 12,344,199,681.32
  5. Step 5: Solve for x
    x = 12,344,199,681.32/125,178.92
  6. Step 6: Final answer
    x = 98,612.45

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1.5x scale

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.