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Finding the Fourth Proportional to 229,873.83, 317,220.91 and 133,081.78

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Solution

The fourth proportional to 229,873.83, 317,220.91 and 133,081.78 is: 183,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,873.83 : 317,220.91 = 133,081.78 : x
  2. Step 2: Convert to fraction form
    229,873.83/317,220.91 = 133,081.78/x
  3. Step 3: Cross multiply
    229,873.83x = 317,220.91 × 133,081.78
  4. Step 4: Simplify right side
    229,873.83x = 42,216,323,356.02
  5. Step 5: Solve for x
    x = 42,216,323,356.02/229,873.83
  6. Step 6: Final answer
    x = 183,649.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.