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Finding the Fourth Proportional to 51,870.60, 77,844.30 and 20,728.20

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Solution

The fourth proportional to 51,870.60, 77,844.30 and 20,728.20 is: 31,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870.60 : 77,844.30 = 20,728.20 : x
  2. Step 2: Convert to fraction form
    51,870.60/77,844.30 = 20,728.20/x
  3. Step 3: Cross multiply
    51,870.60x = 77,844.30 × 20,728.20
  4. Step 4: Simplify right side
    51,870.60x = 1,613,572,219.26
  5. Step 5: Solve for x
    x = 1,613,572,219.26/51,870.60
  6. Step 6: Final answer
    x = 31,107.65

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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.