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Finding the Fourth Proportional to 153,402.40, 229,840.80 and 121,909.60

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Solution

The fourth proportional to 153,402.40, 229,840.80 and 121,909.60 is: 182,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,402.40 : 229,840.80 = 121,909.60 : x
  2. Step 2: Convert to fraction form
    153,402.40/229,840.80 = 121,909.60/x
  3. Step 3: Cross multiply
    153,402.40x = 229,840.80 × 121,909.60
  4. Step 4: Simplify right side
    153,402.40x = 28,019,799,991.68
  5. Step 5: Solve for x
    x = 28,019,799,991.68/153,402.40
  6. Step 6: Final answer
    x = 182,655.55

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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.