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Finding the Fourth Proportional to 52,480.80, 78,688.80 and 30,283.20

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Solution

The fourth proportional to 52,480.80, 78,688.80 and 30,283.20 is: 45,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,480.80 : 78,688.80 = 30,283.20 : x
  2. Step 2: Convert to fraction form
    52,480.80/78,688.80 = 30,283.20/x
  3. Step 3: Cross multiply
    52,480.80x = 78,688.80 × 30,283.20
  4. Step 4: Simplify right side
    52,480.80x = 2,382,948,668.16
  5. Step 5: Solve for x
    x = 2,382,948,668.16/52,480.80
  6. Step 6: Final answer
    x = 45,406.10

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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.