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Finding the Fourth Proportional to 51,671.76, 77,528.76 and 18,398.16

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Solution

The fourth proportional to 51,671.76, 77,528.76 and 18,398.16 is: 27,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.76 : 77,528.76 = 18,398.16 : x
  2. Step 2: Convert to fraction form
    51,671.76/77,528.76 = 18,398.16/x
  3. Step 3: Cross multiply
    51,671.76x = 77,528.76 × 18,398.16
  4. Step 4: Simplify right side
    51,671.76x = 1,426,386,531.08
  5. Step 5: Solve for x
    x = 1,426,386,531.08/51,671.76
  6. Step 6: Final answer
    x = 27,604.76

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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.