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Finding the Fourth Proportional to 108,000.48, 161,999.76 and 34,128.48

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Solution

The fourth proportional to 108,000.48, 161,999.76 and 34,128.48 is: 51,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000.48 : 161,999.76 = 34,128.48 : x
  2. Step 2: Convert to fraction form
    108,000.48/161,999.76 = 34,128.48/x
  3. Step 3: Cross multiply
    108,000.48x = 161,999.76 × 34,128.48
  4. Step 4: Simplify right side
    108,000.48x = 5,528,805,569.16
  5. Step 5: Solve for x
    x = 5,528,805,569.16/108,000.48
  6. Step 6: Final answer
    x = 51,192.42

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1.5x scale

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.