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Finding the Fourth Proportional to 100,053.36, 138,068.48 and 54,722.52

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Solution

The fourth proportional to 100,053.36, 138,068.48 and 54,722.52 is: 75,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,053.36 : 138,068.48 = 54,722.52 : x
  2. Step 2: Convert to fraction form
    100,053.36/138,068.48 = 54,722.52/x
  3. Step 3: Cross multiply
    100,053.36x = 138,068.48 × 54,722.52
  4. Step 4: Simplify right side
    100,053.36x = 7,555,455,158.17
  5. Step 5: Solve for x
    x = 7,555,455,158.17/100,053.36
  6. Step 6: Final answer
    x = 75,514.26

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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.