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Finding the Fourth Proportional to 85,806.40, 128,702.40 and 26,641.12

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Solution

The fourth proportional to 85,806.40, 128,702.40 and 26,641.12 is: 39,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,806.40 : 128,702.40 = 26,641.12 : x
  2. Step 2: Convert to fraction form
    85,806.40/128,702.40 = 26,641.12/x
  3. Step 3: Cross multiply
    85,806.40x = 128,702.40 × 26,641.12
  4. Step 4: Simplify right side
    85,806.40x = 3,428,776,082.69
  5. Step 5: Solve for x
    x = 3,428,776,082.69/85,806.40
  6. Step 6: Final answer
    x = 39,959.44

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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.