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Finding the Fourth Proportional to 70,874.10, 97,806.29 and 40,658.18

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Solution

The fourth proportional to 70,874.10, 97,806.29 and 40,658.18 is: 56,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874.10 : 97,806.29 = 40,658.18 : x
  2. Step 2: Convert to fraction form
    70,874.10/97,806.29 = 40,658.18/x
  3. Step 3: Cross multiply
    70,874.10x = 97,806.29 × 40,658.18
  4. Step 4: Simplify right side
    70,874.10x = 3,976,625,051.63
  5. Step 5: Solve for x
    x = 3,976,625,051.63/70,874.10
  6. Step 6: Final answer
    x = 56,108.30

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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.