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Finding the Fourth Proportional to 84,829.60, 127,074.30 and 53,142.40

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Solution

The fourth proportional to 84,829.60, 127,074.30 and 53,142.40 is: 79,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,829.60 : 127,074.30 = 53,142.40 : x
  2. Step 2: Convert to fraction form
    84,829.60/127,074.30 = 53,142.40/x
  3. Step 3: Cross multiply
    84,829.60x = 127,074.30 × 53,142.40
  4. Step 4: Simplify right side
    84,829.60x = 6,753,033,280.32
  5. Step 5: Solve for x
    x = 6,753,033,280.32/84,829.60
  6. Step 6: Final answer
    x = 79,607.04

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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.