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Finding the Fourth Proportional to 107,798.38, 161,729.12 and 31,898.93

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Solution

The fourth proportional to 107,798.38, 161,729.12 and 31,898.93 is: 47,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,798.38 : 161,729.12 = 31,898.93 : x
  2. Step 2: Convert to fraction form
    107,798.38/161,729.12 = 31,898.93/x
  3. Step 3: Cross multiply
    107,798.38x = 161,729.12 × 31,898.93
  4. Step 4: Simplify right side
    107,798.38x = 5,158,985,148.94
  5. Step 5: Solve for x
    x = 5,158,985,148.94/107,798.38
  6. Step 6: Final answer
    x = 47,857.73

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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.