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Finding the Fourth Proportional to 105,649.18, 145,784.01 and 65,388.94

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Solution

The fourth proportional to 105,649.18, 145,784.01 and 65,388.94 is: 90,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.18 : 145,784.01 = 65,388.94 : x
  2. Step 2: Convert to fraction form
    105,649.18/145,784.01 = 65,388.94/x
  3. Step 3: Cross multiply
    105,649.18x = 145,784.01 × 65,388.94
  4. Step 4: Simplify right side
    105,649.18x = 9,532,661,882.85
  5. Step 5: Solve for x
    x = 9,532,661,882.85/105,649.18
  6. Step 6: Final answer
    x = 90,229.40

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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.