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Finding the Fourth Proportional to 153,509.76, 230,071.14 and 82,255.68

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Solution

The fourth proportional to 153,509.76, 230,071.14 and 82,255.68 is: 123,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,509.76 : 230,071.14 = 82,255.68 : x
  2. Step 2: Convert to fraction form
    153,509.76/230,071.14 = 82,255.68/x
  3. Step 3: Cross multiply
    153,509.76x = 230,071.14 × 82,255.68
  4. Step 4: Simplify right side
    153,509.76x = 18,924,658,069.08
  5. Step 5: Solve for x
    x = 18,924,658,069.08/153,509.76
  6. Step 6: Final answer
    x = 123,279.84

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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.