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Finding the Fourth Proportional to 70,572.92, 105,720.98 and 40,928.50

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Solution

The fourth proportional to 70,572.92, 105,720.98 and 40,928.50 is: 61,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,572.92 : 105,720.98 = 40,928.50 : x
  2. Step 2: Convert to fraction form
    70,572.92/105,720.98 = 40,928.50/x
  3. Step 3: Cross multiply
    70,572.92x = 105,720.98 × 40,928.50
  4. Step 4: Simplify right side
    70,572.92x = 4,327,001,129.93
  5. Step 5: Solve for x
    x = 4,327,001,129.93/70,572.92
  6. Step 6: Final answer
    x = 61,312.49

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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.