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Finding the Fourth Proportional to 70,805.13, 97,731.75 and 42,144.90

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Solution

The fourth proportional to 70,805.13, 97,731.75 and 42,144.90 is: 58,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805.13 : 97,731.75 = 42,144.90 : x
  2. Step 2: Convert to fraction form
    70,805.13/97,731.75 = 42,144.90/x
  3. Step 3: Cross multiply
    70,805.13x = 97,731.75 × 42,144.90
  4. Step 4: Simplify right side
    70,805.13x = 4,118,894,830.58
  5. Step 5: Solve for x
    x = 4,118,894,830.58/70,805.13
  6. Step 6: Final answer
    x = 58,172.27

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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.