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Finding the Fourth Proportional to 100,742.90, 150,895.65 and 83,246.90

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Solution

The fourth proportional to 100,742.90, 150,895.65 and 83,246.90 is: 124,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.90 : 150,895.65 = 83,246.90 : x
  2. Step 2: Convert to fraction form
    100,742.90/150,895.65 = 83,246.90/x
  3. Step 3: Cross multiply
    100,742.90x = 150,895.65 × 83,246.90
  4. Step 4: Simplify right side
    100,742.90x = 12,561,595,085.99
  5. Step 5: Solve for x
    x = 12,561,595,085.99/100,742.90
  6. Step 6: Final answer
    x = 124,689.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.