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Finding the Fourth Proportional to 70,590, 97,414.20 and 40,782

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Solution

The fourth proportional to 70,590, 97,414.20 and 40,782 is: 56,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,590 : 97,414.20 = 40,782 : x
  2. Step 2: Convert to fraction form
    70,590/97,414.20 = 40,782/x
  3. Step 3: Cross multiply
    70,590x = 97,414.20 × 40,782
  4. Step 4: Simplify right side
    70,590x = 3,972,745,904.40
  5. Step 5: Solve for x
    x = 3,972,745,904.40/70,590
  6. Step 6: Final answer
    x = 56,279.16

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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.