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Finding the Fourth Proportional to 145,982.52, 201,456 and 78,914.52

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Solution

The fourth proportional to 145,982.52, 201,456 and 78,914.52 is: 108,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982.52 : 201,456 = 78,914.52 : x
  2. Step 2: Convert to fraction form
    145,982.52/201,456 = 78,914.52/x
  3. Step 3: Cross multiply
    145,982.52x = 201,456 × 78,914.52
  4. Step 4: Simplify right side
    145,982.52x = 15,897,803,541.12
  5. Step 5: Solve for x
    x = 15,897,803,541.12/145,982.52
  6. Step 6: Final answer
    x = 108,902.10

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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.