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Finding the Fourth Proportional to 52,761.80, 79,130.28 and 15,312

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Solution

The fourth proportional to 52,761.80, 79,130.28 and 15,312 is: 22,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.80 : 79,130.28 = 15,312 : x
  2. Step 2: Convert to fraction form
    52,761.80/79,130.28 = 15,312/x
  3. Step 3: Cross multiply
    52,761.80x = 79,130.28 × 15,312
  4. Step 4: Simplify right side
    52,761.80x = 1,211,642,847.36
  5. Step 5: Solve for x
    x = 1,211,642,847.36/52,761.80
  6. Step 6: Final answer
    x = 22,964.40

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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.