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Finding the Fourth Proportional to 100,184.69, 138,254.91 and 54,865.49

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Solution

The fourth proportional to 100,184.69, 138,254.91 and 54,865.49 is: 75,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,184.69 : 138,254.91 = 54,865.49 : x
  2. Step 2: Convert to fraction form
    100,184.69/138,254.91 = 54,865.49/x
  3. Step 3: Cross multiply
    100,184.69x = 138,254.91 × 54,865.49
  4. Step 4: Simplify right side
    100,184.69x = 7,585,423,382.06
  5. Step 5: Solve for x
    x = 7,585,423,382.06/100,184.69
  6. Step 6: Final answer
    x = 75,714.40

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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.