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Finding the Fourth Proportional to 51,689.64, 71,358.80 and 34,782.78

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Solution

The fourth proportional to 51,689.64, 71,358.80 and 34,782.78 is: 48,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.64 : 71,358.80 = 34,782.78 : x
  2. Step 2: Convert to fraction form
    51,689.64/71,358.80 = 34,782.78/x
  3. Step 3: Cross multiply
    51,689.64x = 71,358.80 × 34,782.78
  4. Step 4: Simplify right side
    51,689.64x = 2,482,057,441.46
  5. Step 5: Solve for x
    x = 2,482,057,441.46/51,689.64
  6. Step 6: Final answer
    x = 48,018.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.