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Finding the Fourth Proportional to 51,484, 77,226.88 and 20,319.04

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Solution

The fourth proportional to 51,484, 77,226.88 and 20,319.04 is: 30,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,484 : 77,226.88 = 20,319.04 : x
  2. Step 2: Convert to fraction form
    51,484/77,226.88 = 20,319.04/x
  3. Step 3: Cross multiply
    51,484x = 77,226.88 × 20,319.04
  4. Step 4: Simplify right side
    51,484x = 1,569,176,063.80
  5. Step 5: Solve for x
    x = 1,569,176,063.80/51,484
  6. Step 6: Final answer
    x = 30,478.91

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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.