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Finding the Fourth Proportional to 138,462.48, 207,482.28 and 71,924.16

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Solution

The fourth proportional to 138,462.48, 207,482.28 and 71,924.16 is: 107,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.48 : 207,482.28 = 71,924.16 : x
  2. Step 2: Convert to fraction form
    138,462.48/207,482.28 = 71,924.16/x
  3. Step 3: Cross multiply
    138,462.48x = 207,482.28 × 71,924.16
  4. Step 4: Simplify right side
    138,462.48x = 14,922,988,703.88
  5. Step 5: Solve for x
    x = 14,922,988,703.88/138,462.48
  6. Step 6: Final answer
    x = 107,776.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.