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Finding the Fourth Proportional to 70,643.28, 97,482.12 and 40,421.68

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Solution

The fourth proportional to 70,643.28, 97,482.12 and 40,421.68 is: 55,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,643.28 : 97,482.12 = 40,421.68 : x
  2. Step 2: Convert to fraction form
    70,643.28/97,482.12 = 40,421.68/x
  3. Step 3: Cross multiply
    70,643.28x = 97,482.12 × 40,421.68
  4. Step 4: Simplify right side
    70,643.28x = 3,940,391,060.36
  5. Step 5: Solve for x
    x = 3,940,391,060.36/70,643.28
  6. Step 6: Final answer
    x = 55,778.71

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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.