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Finding the Fourth Proportional to 100,284.51, 138,312.90 and 85,227.02

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Solution

The fourth proportional to 100,284.51, 138,312.90 and 85,227.02 is: 117,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284.51 : 138,312.90 = 85,227.02 : x
  2. Step 2: Convert to fraction form
    100,284.51/138,312.90 = 85,227.02/x
  3. Step 3: Cross multiply
    100,284.51x = 138,312.90 × 85,227.02
  4. Step 4: Simplify right side
    100,284.51x = 11,787,996,294.56
  5. Step 5: Solve for x
    x = 11,787,996,294.56/100,284.51
  6. Step 6: Final answer
    x = 117,545.53

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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.