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Finding the Fourth Proportional to 229,825.10, 316,897.11 and 161,820.32

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Solution

The fourth proportional to 229,825.10, 316,897.11 and 161,820.32 is: 223,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,825.10 : 316,897.11 = 161,820.32 : x
  2. Step 2: Convert to fraction form
    229,825.10/316,897.11 = 161,820.32/x
  3. Step 3: Cross multiply
    229,825.10x = 316,897.11 × 161,820.32
  4. Step 4: Simplify right side
    229,825.10x = 51,280,391,747.28
  5. Step 5: Solve for x
    x = 51,280,391,747.28/229,825.10
  6. Step 6: Final answer
    x = 223,127.90

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1.5x scale

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.