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Finding the Fourth Proportional to 127,452.53, 175,893.08 and 84,357.78

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Solution

The fourth proportional to 127,452.53, 175,893.08 and 84,357.78 is: 116,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,452.53 : 175,893.08 = 84,357.78 : x
  2. Step 2: Convert to fraction form
    127,452.53/175,893.08 = 84,357.78/x
  3. Step 3: Cross multiply
    127,452.53x = 175,893.08 × 84,357.78
  4. Step 4: Simplify right side
    127,452.53x = 14,837,949,746.16
  5. Step 5: Solve for x
    x = 14,837,949,746.16/127,452.53
  6. Step 6: Final answer
    x = 116,419.42

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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.