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Finding the Fourth Proportional to 138,658.72, 191,349.06 and 78,242.14

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Solution

The fourth proportional to 138,658.72, 191,349.06 and 78,242.14 is: 107,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.72 : 191,349.06 = 78,242.14 : x
  2. Step 2: Convert to fraction form
    138,658.72/191,349.06 = 78,242.14/x
  3. Step 3: Cross multiply
    138,658.72x = 191,349.06 × 78,242.14
  4. Step 4: Simplify right side
    138,658.72x = 14,971,559,941.39
  5. Step 5: Solve for x
    x = 14,971,559,941.39/138,658.72
  6. Step 6: Final answer
    x = 107,974.17

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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.