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Finding the Fourth Proportional to 151,881.60, 227,822.40 and 102,115.20

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Solution

The fourth proportional to 151,881.60, 227,822.40 and 102,115.20 is: 153,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,881.60 : 227,822.40 = 102,115.20 : x
  2. Step 2: Convert to fraction form
    151,881.60/227,822.40 = 102,115.20/x
  3. Step 3: Cross multiply
    151,881.60x = 227,822.40 × 102,115.20
  4. Step 4: Simplify right side
    151,881.60x = 23,264,129,940.48
  5. Step 5: Solve for x
    x = 23,264,129,940.48/151,881.60
  6. Step 6: Final answer
    x = 153,172.80

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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.