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Finding the Fourth Proportional to 84,815.70, 127,142.55 and 31,493.40

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Solution

The fourth proportional to 84,815.70, 127,142.55 and 31,493.40 is: 47,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,815.70 : 127,142.55 = 31,493.40 : x
  2. Step 2: Convert to fraction form
    84,815.70/127,142.55 = 31,493.40/x
  3. Step 3: Cross multiply
    84,815.70x = 127,142.55 × 31,493.40
  4. Step 4: Simplify right side
    84,815.70x = 4,004,151,184.17
  5. Step 5: Solve for x
    x = 4,004,151,184.17/84,815.70
  6. Step 6: Final answer
    x = 47,210.02

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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.