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Finding the Fourth Proportional to 138,857.47, 191,623.03 and 75,195.07

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Solution

The fourth proportional to 138,857.47, 191,623.03 and 75,195.07 is: 103,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.47 : 191,623.03 = 75,195.07 : x
  2. Step 2: Convert to fraction form
    138,857.47/191,623.03 = 75,195.07/x
  3. Step 3: Cross multiply
    138,857.47x = 191,623.03 × 75,195.07
  4. Step 4: Simplify right side
    138,857.47x = 14,409,107,154.46
  5. Step 5: Solve for x
    x = 14,409,107,154.46/138,857.47
  6. Step 6: Final answer
    x = 103,769.05

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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.