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Finding the Fourth Proportional to 100,820.53, 151,230.80 and 30,700.45

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Solution

The fourth proportional to 100,820.53, 151,230.80 and 30,700.45 is: 46,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,820.53 : 151,230.80 = 30,700.45 : x
  2. Step 2: Convert to fraction form
    100,820.53/151,230.80 = 30,700.45/x
  3. Step 3: Cross multiply
    100,820.53x = 151,230.80 × 30,700.45
  4. Step 4: Simplify right side
    100,820.53x = 4,642,853,613.86
  5. Step 5: Solve for x
    x = 4,642,853,613.86/100,820.53
  6. Step 6: Final answer
    x = 46,050.68

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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.