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Finding the Fourth Proportional to 138,593.68, 191,259.74 and 74,931.93

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Solution

The fourth proportional to 138,593.68, 191,259.74 and 74,931.93 is: 103,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593.68 : 191,259.74 = 74,931.93 : x
  2. Step 2: Convert to fraction form
    138,593.68/191,259.74 = 74,931.93/x
  3. Step 3: Cross multiply
    138,593.68x = 191,259.74 × 74,931.93
  4. Step 4: Simplify right side
    138,593.68x = 14,331,461,449.50
  5. Step 5: Solve for x
    x = 14,331,461,449.50/138,593.68
  6. Step 6: Final answer
    x = 103,406.31

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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.