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Finding the Fourth Proportional to 77,884.16, 107,488.60 and 47,689.84

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Solution

The fourth proportional to 77,884.16, 107,488.60 and 47,689.84 is: 65,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.16 : 107,488.60 = 47,689.84 : x
  2. Step 2: Convert to fraction form
    77,884.16/107,488.60 = 47,689.84/x
  3. Step 3: Cross multiply
    77,884.16x = 107,488.60 × 47,689.84
  4. Step 4: Simplify right side
    77,884.16x = 5,126,114,135.82
  5. Step 5: Solve for x
    x = 5,126,114,135.82/77,884.16
  6. Step 6: Final answer
    x = 65,817.16

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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.