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Finding the Fourth Proportional to 51,965.80, 77,948.70 and 36,219.40

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Solution

The fourth proportional to 51,965.80, 77,948.70 and 36,219.40 is: 54,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.80 : 77,948.70 = 36,219.40 : x
  2. Step 2: Convert to fraction form
    51,965.80/77,948.70 = 36,219.40/x
  3. Step 3: Cross multiply
    51,965.80x = 77,948.70 × 36,219.40
  4. Step 4: Simplify right side
    51,965.80x = 2,823,255,144.78
  5. Step 5: Solve for x
    x = 2,823,255,144.78/51,965.80
  6. Step 6: Final answer
    x = 54,329.10

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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.