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Finding the Fourth Proportional to 70,842, 97,758.16 and 40,625.85

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Solution

The fourth proportional to 70,842, 97,758.16 and 40,625.85 is: 56,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842 : 97,758.16 = 40,625.85 : x
  2. Step 2: Convert to fraction form
    70,842/97,758.16 = 40,625.85/x
  3. Step 3: Cross multiply
    70,842x = 97,758.16 × 40,625.85
  4. Step 4: Simplify right side
    70,842x = 3,971,508,344.44
  5. Step 5: Solve for x
    x = 3,971,508,344.44/70,842
  6. Step 6: Final answer
    x = 56,061.49

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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.