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Finding the Fourth Proportional to 101,521.80, 152,253.14 and 30,441.60

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Solution

The fourth proportional to 101,521.80, 152,253.14 and 30,441.60 is: 45,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,521.80 : 152,253.14 = 30,441.60 : x
  2. Step 2: Convert to fraction form
    101,521.80/152,253.14 = 30,441.60/x
  3. Step 3: Cross multiply
    101,521.80x = 152,253.14 × 30,441.60
  4. Step 4: Simplify right side
    101,521.80x = 4,634,829,034.42
  5. Step 5: Solve for x
    x = 4,634,829,034.42/101,521.80
  6. Step 6: Final answer
    x = 45,653.53

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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.