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Finding the Fourth Proportional to 85,564.68, 118,098 and 49,775.28

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Solution

The fourth proportional to 85,564.68, 118,098 and 49,775.28 is: 68,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,564.68 : 118,098 = 49,775.28 : x
  2. Step 2: Convert to fraction form
    85,564.68/118,098 = 49,775.28/x
  3. Step 3: Cross multiply
    85,564.68x = 118,098 × 49,775.28
  4. Step 4: Simplify right side
    85,564.68x = 5,878,361,017.44
  5. Step 5: Solve for x
    x = 5,878,361,017.44/85,564.68
  6. Step 6: Final answer
    x = 68,700.79

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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.