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Finding the Fourth Proportional to 70,882.83, 97,832.43 and 40,688.55

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Solution

The fourth proportional to 70,882.83, 97,832.43 and 40,688.55 is: 56,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.83 : 97,832.43 = 40,688.55 : x
  2. Step 2: Convert to fraction form
    70,882.83/97,832.43 = 40,688.55/x
  3. Step 3: Cross multiply
    70,882.83x = 97,832.43 × 40,688.55
  4. Step 4: Simplify right side
    70,882.83x = 3,980,659,719.68
  5. Step 5: Solve for x
    x = 3,980,659,719.68/70,882.83
  6. Step 6: Final answer
    x = 56,158.31

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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.