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Finding the Fourth Proportional to 229,649.76, 316,916.80 and 132,867.20

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Solution

The fourth proportional to 229,649.76, 316,916.80 and 132,867.20 is: 183,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,649.76 : 316,916.80 = 132,867.20 : x
  2. Step 2: Convert to fraction form
    229,649.76/316,916.80 = 132,867.20/x
  3. Step 3: Cross multiply
    229,649.76x = 316,916.80 × 132,867.20
  4. Step 4: Simplify right side
    229,649.76x = 42,107,847,848.96
  5. Step 5: Solve for x
    x = 42,107,847,848.96/229,649.76
  6. Step 6: Final answer
    x = 183,356.81

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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.