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Finding the Fourth Proportional to 51,429.60, 77,144.40 and 45,986.40

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Solution

The fourth proportional to 51,429.60, 77,144.40 and 45,986.40 is: 68,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,429.60 : 77,144.40 = 45,986.40 : x
  2. Step 2: Convert to fraction form
    51,429.60/77,144.40 = 45,986.40/x
  3. Step 3: Cross multiply
    51,429.60x = 77,144.40 × 45,986.40
  4. Step 4: Simplify right side
    51,429.60x = 3,547,593,236.16
  5. Step 5: Solve for x
    x = 3,547,593,236.16/51,429.60
  6. Step 6: Final answer
    x = 68,979.60

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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.