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Finding the Fourth Proportional to 51,354.40, 77,110.80 and 28,026.40

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Solution

The fourth proportional to 51,354.40, 77,110.80 and 28,026.40 is: 42,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,354.40 : 77,110.80 = 28,026.40 : x
  2. Step 2: Convert to fraction form
    51,354.40/77,110.80 = 28,026.40/x
  3. Step 3: Cross multiply
    51,354.40x = 77,110.80 × 28,026.40
  4. Step 4: Simplify right side
    51,354.40x = 2,161,138,125.12
  5. Step 5: Solve for x
    x = 2,161,138,125.12/51,354.40
  6. Step 6: Final answer
    x = 42,082.82

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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.