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Finding the Fourth Proportional to 92,778.17, 138,931.74 and 77,745.79

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Solution

The fourth proportional to 92,778.17, 138,931.74 and 77,745.79 is: 116,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,778.17 : 138,931.74 = 77,745.79 : x
  2. Step 2: Convert to fraction form
    92,778.17/138,931.74 = 77,745.79/x
  3. Step 3: Cross multiply
    92,778.17x = 138,931.74 × 77,745.79
  4. Step 4: Simplify right side
    92,778.17x = 10,801,357,882.37
  5. Step 5: Solve for x
    x = 10,801,357,882.37/92,778.17
  6. Step 6: Final answer
    x = 116,421.33

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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.