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Finding the Fourth Proportional to 125,221.44, 172,823.30 and 77,490.16

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Solution

The fourth proportional to 125,221.44, 172,823.30 and 77,490.16 is: 106,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,221.44 : 172,823.30 = 77,490.16 : x
  2. Step 2: Convert to fraction form
    125,221.44/172,823.30 = 77,490.16/x
  3. Step 3: Cross multiply
    125,221.44x = 172,823.30 × 77,490.16
  4. Step 4: Simplify right side
    125,221.44x = 13,392,105,168.73
  5. Step 5: Solve for x
    x = 13,392,105,168.73/125,221.44
  6. Step 6: Final answer
    x = 106,947.38

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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.