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Finding the Fourth Proportional to 82,405.90, 115,630.70 and 82,405.90

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Solution

The fourth proportional to 82,405.90, 115,630.70 and 82,405.90 is: 115,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.90 : 115,630.70 = 82,405.90 : x
  2. Step 2: Convert to fraction form
    82,405.90/115,630.70 = 82,405.90/x
  3. Step 3: Cross multiply
    82,405.90x = 115,630.70 × 82,405.90
  4. Step 4: Simplify right side
    82,405.90x = 9,528,651,901.13
  5. Step 5: Solve for x
    x = 9,528,651,901.13/82,405.90
  6. Step 6: Final answer
    x = 115,630.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.