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Finding the Fourth Proportional to 247,447.84, 370,990 and 78,871.20

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Solution

The fourth proportional to 247,447.84, 370,990 and 78,871.20 is: 118,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,447.84 : 370,990 = 78,871.20 : x
  2. Step 2: Convert to fraction form
    247,447.84/370,990 = 78,871.20/x
  3. Step 3: Cross multiply
    247,447.84x = 370,990 × 78,871.20
  4. Step 4: Simplify right side
    247,447.84x = 29,260,426,488
  5. Step 5: Solve for x
    x = 29,260,426,488/247,447.84
  6. Step 6: Final answer
    x = 118,248.87

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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.