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Finding the Fourth Proportional to 51,466, 76,636.64 and 49,574.40

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Solution

The fourth proportional to 51,466, 76,636.64 and 49,574.40 is: 73,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,466 : 76,636.64 = 49,574.40 : x
  2. Step 2: Convert to fraction form
    51,466/76,636.64 = 49,574.40/x
  3. Step 3: Cross multiply
    51,466x = 76,636.64 × 49,574.40
  4. Step 4: Simplify right side
    51,466x = 3,799,215,446.02
  5. Step 5: Solve for x
    x = 3,799,215,446.02/51,466
  6. Step 6: Final answer
    x = 73,819.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.