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Finding the Fourth Proportional to 100,029.54, 138,053.32 and 65,603.19

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Solution

The fourth proportional to 100,029.54, 138,053.32 and 65,603.19 is: 90,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.54 : 138,053.32 = 65,603.19 : x
  2. Step 2: Convert to fraction form
    100,029.54/138,053.32 = 65,603.19/x
  3. Step 3: Cross multiply
    100,029.54x = 138,053.32 × 65,603.19
  4. Step 4: Simplify right side
    100,029.54x = 9,056,738,838.02
  5. Step 5: Solve for x
    x = 9,056,738,838.02/100,029.54
  6. Step 6: Final answer
    x = 90,540.65

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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.