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Finding the Fourth Proportional to 92,775.67, 138,927.99 and 77,743.28

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Solution

The fourth proportional to 92,775.67, 138,927.99 and 77,743.28 is: 116,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,775.67 : 138,927.99 = 77,743.28 : x
  2. Step 2: Convert to fraction form
    92,775.67/138,927.99 = 77,743.28/x
  3. Step 3: Cross multiply
    92,775.67x = 138,927.99 × 77,743.28
  4. Step 4: Simplify right side
    92,775.67x = 10,800,717,626.41
  5. Step 5: Solve for x
    x = 10,800,717,626.41/92,775.67
  6. Step 6: Final answer
    x = 116,417.57

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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.