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Finding the Fourth Proportional to 229,281.60, 343,922.40 and 71,509.80

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Solution

The fourth proportional to 229,281.60, 343,922.40 and 71,509.80 is: 107,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,281.60 : 343,922.40 = 71,509.80 : x
  2. Step 2: Convert to fraction form
    229,281.60/343,922.40 = 71,509.80/x
  3. Step 3: Cross multiply
    229,281.60x = 343,922.40 × 71,509.80
  4. Step 4: Simplify right side
    229,281.60x = 24,593,822,039.52
  5. Step 5: Solve for x
    x = 24,593,822,039.52/229,281.60
  6. Step 6: Final answer
    x = 107,264.70

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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.