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Finding the Fourth Proportional to 52,085.50, 78,141.48 and 15,149.50

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Solution

The fourth proportional to 52,085.50, 78,141.48 and 15,149.50 is: 22,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.50 : 78,141.48 = 15,149.50 : x
  2. Step 2: Convert to fraction form
    52,085.50/78,141.48 = 15,149.50/x
  3. Step 3: Cross multiply
    52,085.50x = 78,141.48 × 15,149.50
  4. Step 4: Simplify right side
    52,085.50x = 1,183,804,351.26
  5. Step 5: Solve for x
    x = 1,183,804,351.26/52,085.50
  6. Step 6: Final answer
    x = 22,728.10

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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.