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Finding the Fourth Proportional to 138,875.31, 191,648.19 and 75,213.12

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Solution

The fourth proportional to 138,875.31, 191,648.19 and 75,213.12 is: 103,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,875.31 : 191,648.19 = 75,213.12 : x
  2. Step 2: Convert to fraction form
    138,875.31/191,648.19 = 75,213.12/x
  3. Step 3: Cross multiply
    138,875.31x = 191,648.19 × 75,213.12
  4. Step 4: Simplify right side
    138,875.31x = 14,414,459,312.98
  5. Step 5: Solve for x
    x = 14,414,459,312.98/138,875.31
  6. Step 6: Final answer
    x = 103,794.25

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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.