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Finding the Fourth Proportional to 138,593.68, 191,259.32 and 74,931.48

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Solution

The fourth proportional to 138,593.68, 191,259.32 and 74,931.48 is: 103,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593.68 : 191,259.32 = 74,931.48 : x
  2. Step 2: Convert to fraction form
    138,593.68/191,259.32 = 74,931.48/x
  3. Step 3: Cross multiply
    138,593.68x = 191,259.32 × 74,931.48
  4. Step 4: Simplify right side
    138,593.68x = 14,331,343,911.39
  5. Step 5: Solve for x
    x = 14,331,343,911.39/138,593.68
  6. Step 6: Final answer
    x = 103,405.46

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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.