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Finding the Fourth Proportional to 102,549.96, 141,308.76 and 75,649.80

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Solution

The fourth proportional to 102,549.96, 141,308.76 and 75,649.80 is: 104,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,549.96 : 141,308.76 = 75,649.80 : x
  2. Step 2: Convert to fraction form
    102,549.96/141,308.76 = 75,649.80/x
  3. Step 3: Cross multiply
    102,549.96x = 141,308.76 × 75,649.80
  4. Step 4: Simplify right side
    102,549.96x = 10,689,979,432.25
  5. Step 5: Solve for x
    x = 10,689,979,432.25/102,549.96
  6. Step 6: Final answer
    x = 104,241.67

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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.