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Finding the Fourth Proportional to 153,886.60, 230,829.90 and 123,819.40

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Solution

The fourth proportional to 153,886.60, 230,829.90 and 123,819.40 is: 185,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.60 : 230,829.90 = 123,819.40 : x
  2. Step 2: Convert to fraction form
    153,886.60/230,829.90 = 123,819.40/x
  3. Step 3: Cross multiply
    153,886.60x = 230,829.90 × 123,819.40
  4. Step 4: Simplify right side
    153,886.60x = 28,581,219,720.06
  5. Step 5: Solve for x
    x = 28,581,219,720.06/153,886.60
  6. Step 6: Final answer
    x = 185,729.10

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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.