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Finding the Fourth Proportional to 118,538.40, 178,196.40 and 83,719.20

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Solution

The fourth proportional to 118,538.40, 178,196.40 and 83,719.20 is: 125,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,538.40 : 178,196.40 = 83,719.20 : x
  2. Step 2: Convert to fraction form
    118,538.40/178,196.40 = 83,719.20/x
  3. Step 3: Cross multiply
    118,538.40x = 178,196.40 × 83,719.20
  4. Step 4: Simplify right side
    118,538.40x = 14,918,460,050.88
  5. Step 5: Solve for x
    x = 14,918,460,050.88/118,538.40
  6. Step 6: Final answer
    x = 125,853.39

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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.