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Finding the Fourth Proportional to 42,806.88, 64,199.28 and 12,815.20

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Solution

The fourth proportional to 42,806.88, 64,199.28 and 12,815.20 is: 19,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.88 : 64,199.28 = 12,815.20 : x
  2. Step 2: Convert to fraction form
    42,806.88/64,199.28 = 12,815.20/x
  3. Step 3: Cross multiply
    42,806.88x = 64,199.28 × 12,815.20
  4. Step 4: Simplify right side
    42,806.88x = 822,726,613.06
  5. Step 5: Solve for x
    x = 822,726,613.06/42,806.88
  6. Step 6: Final answer
    x = 19,219.49

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1.5x scale

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.