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Finding the Fourth Proportional to 100,459.91, 138,641.80 and 66,409.23

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Solution

The fourth proportional to 100,459.91, 138,641.80 and 66,409.23 is: 91,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.91 : 138,641.80 = 66,409.23 : x
  2. Step 2: Convert to fraction form
    100,459.91/138,641.80 = 66,409.23/x
  3. Step 3: Cross multiply
    100,459.91x = 138,641.80 × 66,409.23
  4. Step 4: Simplify right side
    100,459.91x = 9,207,095,017.79
  5. Step 5: Solve for x
    x = 9,207,095,017.79/100,459.91
  6. Step 6: Final answer
    x = 91,649.44

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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.