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Finding the Fourth Proportional to 102,015.50, 153,032.07 and 28,143.50

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Solution

The fourth proportional to 102,015.50, 153,032.07 and 28,143.50 is: 42,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.50 : 153,032.07 = 28,143.50 : x
  2. Step 2: Convert to fraction form
    102,015.50/153,032.07 = 28,143.50/x
  3. Step 3: Cross multiply
    102,015.50x = 153,032.07 × 28,143.50
  4. Step 4: Simplify right side
    102,015.50x = 4,306,858,062.05
  5. Step 5: Solve for x
    x = 4,306,858,062.05/102,015.50
  6. Step 6: Final answer
    x = 42,217.68

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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.