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Finding the Fourth Proportional to 70,397.82, 97,151.67 and 40,188.06

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Solution

The fourth proportional to 70,397.82, 97,151.67 and 40,188.06 is: 55,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,397.82 : 97,151.67 = 40,188.06 : x
  2. Step 2: Convert to fraction form
    70,397.82/97,151.67 = 40,188.06/x
  3. Step 3: Cross multiply
    70,397.82x = 97,151.67 × 40,188.06
  4. Step 4: Simplify right side
    70,397.82x = 3,904,337,143.06
  5. Step 5: Solve for x
    x = 3,904,337,143.06/70,397.82
  6. Step 6: Final answer
    x = 55,461.05

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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.