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Finding the Fourth Proportional to 77,404, 106,827.60 and 45,575.84

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Solution

The fourth proportional to 77,404, 106,827.60 and 45,575.84 is: 62,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404 : 106,827.60 = 45,575.84 : x
  2. Step 2: Convert to fraction form
    77,404/106,827.60 = 45,575.84/x
  3. Step 3: Cross multiply
    77,404x = 106,827.60 × 45,575.84
  4. Step 4: Simplify right side
    77,404x = 4,868,757,605.18
  5. Step 5: Solve for x
    x = 4,868,757,605.18/77,404
  6. Step 6: Final answer
    x = 62,900.59

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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.