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Finding the Fourth Proportional to 71,442.11, 98,570.49 and 42,750.11

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Solution

The fourth proportional to 71,442.11, 98,570.49 and 42,750.11 is: 58,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.11 : 98,570.49 = 42,750.11 : x
  2. Step 2: Convert to fraction form
    71,442.11/98,570.49 = 42,750.11/x
  3. Step 3: Cross multiply
    71,442.11x = 98,570.49 × 42,750.11
  4. Step 4: Simplify right side
    71,442.11x = 4,213,899,290.25
  5. Step 5: Solve for x
    x = 4,213,899,290.25/71,442.11
  6. Step 6: Final answer
    x = 58,983.41

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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.