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Finding the Fourth Proportional to 145,471.92, 218,208.08 and 45,639.76

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Solution

The fourth proportional to 145,471.92, 218,208.08 and 45,639.76 is: 68,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,471.92 : 218,208.08 = 45,639.76 : x
  2. Step 2: Convert to fraction form
    145,471.92/218,208.08 = 45,639.76/x
  3. Step 3: Cross multiply
    145,471.92x = 218,208.08 × 45,639.76
  4. Step 4: Simplify right side
    145,471.92x = 9,958,964,401.26
  5. Step 5: Solve for x
    x = 9,958,964,401.26/145,471.92
  6. Step 6: Final answer
    x = 68,459.70

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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.