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Finding the Fourth Proportional to 77,343.52, 115,846.80 and 47,768.80

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Solution

The fourth proportional to 77,343.52, 115,846.80 and 47,768.80 is: 71,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,343.52 : 115,846.80 = 47,768.80 : x
  2. Step 2: Convert to fraction form
    77,343.52/115,846.80 = 47,768.80/x
  3. Step 3: Cross multiply
    77,343.52x = 115,846.80 × 47,768.80
  4. Step 4: Simplify right side
    77,343.52x = 5,533,862,619.84
  5. Step 5: Solve for x
    x = 5,533,862,619.84/77,343.52
  6. Step 6: Final answer
    x = 71,549.14

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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.