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Finding the Fourth Proportional to 169,077.58, 233,287 and 100,132.23

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Solution

The fourth proportional to 169,077.58, 233,287 and 100,132.23 is: 138,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,077.58 : 233,287 = 100,132.23 : x
  2. Step 2: Convert to fraction form
    169,077.58/233,287 = 100,132.23/x
  3. Step 3: Cross multiply
    169,077.58x = 233,287 × 100,132.23
  4. Step 4: Simplify right side
    169,077.58x = 23,359,547,540.01
  5. Step 5: Solve for x
    x = 23,359,547,540.01/169,077.58
  6. Step 6: Final answer
    x = 138,158.75

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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.