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Finding the Fourth Proportional to 215,167.38, 296,764.16 and 138,698.93

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Solution

The fourth proportional to 215,167.38, 296,764.16 and 138,698.93 is: 191,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,167.38 : 296,764.16 = 138,698.93 : x
  2. Step 2: Convert to fraction form
    215,167.38/296,764.16 = 138,698.93/x
  3. Step 3: Cross multiply
    215,167.38x = 296,764.16 × 138,698.93
  4. Step 4: Simplify right side
    215,167.38x = 41,160,869,277.03
  5. Step 5: Solve for x
    x = 41,160,869,277.03/215,167.38
  6. Step 6: Final answer
    x = 191,296.98

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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.