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Finding the Fourth Proportional to 153,309.60, 229,975.20 and 86,781.60

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Solution

The fourth proportional to 153,309.60, 229,975.20 and 86,781.60 is: 130,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.60 : 229,975.20 = 86,781.60 : x
  2. Step 2: Convert to fraction form
    153,309.60/229,975.20 = 86,781.60/x
  3. Step 3: Cross multiply
    153,309.60x = 229,975.20 × 86,781.60
  4. Step 4: Simplify right side
    153,309.60x = 19,957,615,816.32
  5. Step 5: Solve for x
    x = 19,957,615,816.32/153,309.60
  6. Step 6: Final answer
    x = 130,178.51

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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.