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Finding the Fourth Proportional to 138,765.98, 191,497.05 and 75,103.78

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Solution

The fourth proportional to 138,765.98, 191,497.05 and 75,103.78 is: 103,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765.98 : 191,497.05 = 75,103.78 : x
  2. Step 2: Convert to fraction form
    138,765.98/191,497.05 = 75,103.78/x
  3. Step 3: Cross multiply
    138,765.98x = 191,497.05 × 75,103.78
  4. Step 4: Simplify right side
    138,765.98x = 14,382,152,313.85
  5. Step 5: Solve for x
    x = 14,382,152,313.85/138,765.98
  6. Step 6: Final answer
    x = 103,643.22

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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.