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Finding the Fourth Proportional to 207,929.60, 311,894.40 and 74,814.20

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Solution

The fourth proportional to 207,929.60, 311,894.40 and 74,814.20 is: 112,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,929.60 : 311,894.40 = 74,814.20 : x
  2. Step 2: Convert to fraction form
    207,929.60/311,894.40 = 74,814.20/x
  3. Step 3: Cross multiply
    207,929.60x = 311,894.40 × 74,814.20
  4. Step 4: Simplify right side
    207,929.60x = 23,334,130,020.48
  5. Step 5: Solve for x
    x = 23,334,130,020.48/207,929.60
  6. Step 6: Final answer
    x = 112,221.30

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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.