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Finding the Fourth Proportional to 70,516.80, 105,747.76 and 35,432

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Solution

The fourth proportional to 70,516.80, 105,747.76 and 35,432 is: 53,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516.80 : 105,747.76 = 35,432 : x
  2. Step 2: Convert to fraction form
    70,516.80/105,747.76 = 35,432/x
  3. Step 3: Cross multiply
    70,516.80x = 105,747.76 × 35,432
  4. Step 4: Simplify right side
    70,516.80x = 3,746,854,632.32
  5. Step 5: Solve for x
    x = 3,746,854,632.32/70,516.80
  6. Step 6: Final answer
    x = 53,134.21

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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.