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Finding the Fourth Proportional to 145,360.64, 200,609.52 and 84,127.52

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Solution

The fourth proportional to 145,360.64, 200,609.52 and 84,127.52 is: 116,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,360.64 : 200,609.52 = 84,127.52 : x
  2. Step 2: Convert to fraction form
    145,360.64/200,609.52 = 84,127.52/x
  3. Step 3: Cross multiply
    145,360.64x = 200,609.52 × 84,127.52
  4. Step 4: Simplify right side
    145,360.64x = 16,876,781,405.99
  5. Step 5: Solve for x
    x = 16,876,781,405.99/145,360.64
  6. Step 6: Final answer
    x = 116,102.83

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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.