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Finding the Fourth Proportional to 153,231.60, 229,420.80 and 78,189.60

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Solution

The fourth proportional to 153,231.60, 229,420.80 and 78,189.60 is: 117,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,231.60 : 229,420.80 = 78,189.60 : x
  2. Step 2: Convert to fraction form
    153,231.60/229,420.80 = 78,189.60/x
  3. Step 3: Cross multiply
    153,231.60x = 229,420.80 × 78,189.60
  4. Step 4: Simplify right side
    153,231.60x = 17,938,320,583.68
  5. Step 5: Solve for x
    x = 17,938,320,583.68/153,231.60
  6. Step 6: Final answer
    x = 117,066.72

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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.