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Finding the Fourth Proportional to 142,700.58, 213,853.92 and 107,601.66

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Solution

The fourth proportional to 142,700.58, 213,853.92 and 107,601.66 is: 161,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,700.58 : 213,853.92 = 107,601.66 : x
  2. Step 2: Convert to fraction form
    142,700.58/213,853.92 = 107,601.66/x
  3. Step 3: Cross multiply
    142,700.58x = 213,853.92 × 107,601.66
  4. Step 4: Simplify right side
    142,700.58x = 23,011,036,789.51
  5. Step 5: Solve for x
    x = 23,011,036,789.51/142,700.58
  6. Step 6: Final answer
    x = 161,253.98

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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.