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Finding the Fourth Proportional to 71,049.40, 97,987.98 and 42,749.80

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Solution

The fourth proportional to 71,049.40, 97,987.98 and 42,749.80 is: 58,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,049.40 : 97,987.98 = 42,749.80 : x
  2. Step 2: Convert to fraction form
    71,049.40/97,987.98 = 42,749.80/x
  3. Step 3: Cross multiply
    71,049.40x = 97,987.98 × 42,749.80
  4. Step 4: Simplify right side
    71,049.40x = 4,188,966,547.40
  5. Step 5: Solve for x
    x = 4,188,966,547.40/71,049.40
  6. Step 6: Final answer
    x = 58,958.51

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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.