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Finding the Fourth Proportional to 136,873.80, 205,330.14 and 42,111.83

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Solution

The fourth proportional to 136,873.80, 205,330.14 and 42,111.83 is: 63,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,873.80 : 205,330.14 = 42,111.83 : x
  2. Step 2: Convert to fraction form
    136,873.80/205,330.14 = 42,111.83/x
  3. Step 3: Cross multiply
    136,873.80x = 205,330.14 × 42,111.83
  4. Step 4: Simplify right side
    136,873.80x = 8,646,828,462.88
  5. Step 5: Solve for x
    x = 8,646,828,462.88/136,873.80
  6. Step 6: Final answer
    x = 63,173.73

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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.