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Finding the Fourth Proportional to 229,143, 316,219.50 and 128,543.16

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Solution

The fourth proportional to 229,143, 316,219.50 and 128,543.16 is: 177,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,143 : 316,219.50 = 128,543.16 : x
  2. Step 2: Convert to fraction form
    229,143/316,219.50 = 128,543.16/x
  3. Step 3: Cross multiply
    229,143x = 316,219.50 × 128,543.16
  4. Step 4: Simplify right side
    229,143x = 40,647,853,783.62
  5. Step 5: Solve for x
    x = 40,647,853,783.62/229,143
  6. Step 6: Final answer
    x = 177,390.77

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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.