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Finding the Fourth Proportional to 138,929, 191,722.10 and 75,267.24

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Solution

The fourth proportional to 138,929, 191,722.10 and 75,267.24 is: 103,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,929 : 191,722.10 = 75,267.24 : x
  2. Step 2: Convert to fraction form
    138,929/191,722.10 = 75,267.24/x
  3. Step 3: Cross multiply
    138,929x = 191,722.10 × 75,267.24
  4. Step 4: Simplify right side
    138,929x = 14,430,393,314.00
  5. Step 5: Solve for x
    x = 14,430,393,314.00/138,929
  6. Step 6: Final answer
    x = 103,868.83

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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.