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Finding the Fourth Proportional to 156,382.53, 215,808.12 and 84,762.53

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Solution

The fourth proportional to 156,382.53, 215,808.12 and 84,762.53 is: 116,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,382.53 : 215,808.12 = 84,762.53 : x
  2. Step 2: Convert to fraction form
    156,382.53/215,808.12 = 84,762.53/x
  3. Step 3: Cross multiply
    156,382.53x = 215,808.12 × 84,762.53
  4. Step 4: Simplify right side
    156,382.53x = 18,292,443,428.30
  5. Step 5: Solve for x
    x = 18,292,443,428.30/156,382.53
  6. Step 6: Final answer
    x = 116,972.42

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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.