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Finding the Fourth Proportional to 153,973.20, 230,959.80 and 138,226.80

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Solution

The fourth proportional to 153,973.20, 230,959.80 and 138,226.80 is: 207,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,973.20 : 230,959.80 = 138,226.80 : x
  2. Step 2: Convert to fraction form
    153,973.20/230,959.80 = 138,226.80/x
  3. Step 3: Cross multiply
    153,973.20x = 230,959.80 × 138,226.80
  4. Step 4: Simplify right side
    153,973.20x = 31,924,834,082.64
  5. Step 5: Solve for x
    x = 31,924,834,082.64/153,973.20
  6. Step 6: Final answer
    x = 207,340.20

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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.