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Finding the Fourth Proportional to 125,478.24, 187,976.74 and 77,952.30

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Solution

The fourth proportional to 125,478.24, 187,976.74 and 77,952.30 is: 116,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,478.24 : 187,976.74 = 77,952.30 : x
  2. Step 2: Convert to fraction form
    125,478.24/187,976.74 = 77,952.30/x
  3. Step 3: Cross multiply
    125,478.24x = 187,976.74 × 77,952.30
  4. Step 4: Simplify right side
    125,478.24x = 14,653,219,229.50
  5. Step 5: Solve for x
    x = 14,653,219,229.50/125,478.24
  6. Step 6: Final answer
    x = 116,778.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.