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Finding the Fourth Proportional to 70,531.80, 105,688.32 and 40,876.08

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Solution

The fourth proportional to 70,531.80, 105,688.32 and 40,876.08 is: 61,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.80 : 105,688.32 = 40,876.08 : x
  2. Step 2: Convert to fraction form
    70,531.80/105,688.32 = 40,876.08/x
  3. Step 3: Cross multiply
    70,531.80x = 105,688.32 × 40,876.08
  4. Step 4: Simplify right side
    70,531.80x = 4,320,124,223.39
  5. Step 5: Solve for x
    x = 4,320,124,223.39/70,531.80
  6. Step 6: Final answer
    x = 61,250.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.