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Finding the Fourth Proportional to 70,726.86, 97,579.16 and 40,096.68

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Solution

The fourth proportional to 70,726.86, 97,579.16 and 40,096.68 is: 55,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,726.86 : 97,579.16 = 40,096.68 : x
  2. Step 2: Convert to fraction form
    70,726.86/97,579.16 = 40,096.68/x
  3. Step 3: Cross multiply
    70,726.86x = 97,579.16 × 40,096.68
  4. Step 4: Simplify right side
    70,726.86x = 3,912,600,353.19
  5. Step 5: Solve for x
    x = 3,912,600,353.19/70,726.86
  6. Step 6: Final answer
    x = 55,319.87

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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.