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Finding the Fourth Proportional to 138,840.95, 191,600.24 and 75,178.94

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Solution

The fourth proportional to 138,840.95, 191,600.24 and 75,178.94 is: 103,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.95 : 191,600.24 = 75,178.94 : x
  2. Step 2: Convert to fraction form
    138,840.95/191,600.24 = 75,178.94/x
  3. Step 3: Cross multiply
    138,840.95x = 191,600.24 × 75,178.94
  4. Step 4: Simplify right side
    138,840.95x = 14,404,301,613.05
  5. Step 5: Solve for x
    x = 14,404,301,613.05/138,840.95
  6. Step 6: Final answer
    x = 103,746.78

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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.