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Finding the Fourth Proportional to 138,897.30, 191,709.73 and 78,502.98

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Solution

The fourth proportional to 138,897.30, 191,709.73 and 78,502.98 is: 108,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,897.30 : 191,709.73 = 78,502.98 : x
  2. Step 2: Convert to fraction form
    138,897.30/191,709.73 = 78,502.98/x
  3. Step 3: Cross multiply
    138,897.30x = 191,709.73 × 78,502.98
  4. Step 4: Simplify right side
    138,897.30x = 15,049,783,748.93
  5. Step 5: Solve for x
    x = 15,049,783,748.93/138,897.30
  6. Step 6: Final answer
    x = 108,351.88

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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.