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Finding the Fourth Proportional to 77,946.43, 107,540.58 and 47,700.22

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Solution

The fourth proportional to 77,946.43, 107,540.58 and 47,700.22 is: 65,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946.43 : 107,540.58 = 47,700.22 : x
  2. Step 2: Convert to fraction form
    77,946.43/107,540.58 = 47,700.22/x
  3. Step 3: Cross multiply
    77,946.43x = 107,540.58 × 47,700.22
  4. Step 4: Simplify right side
    77,946.43x = 5,129,709,324.93
  5. Step 5: Solve for x
    x = 5,129,709,324.93/77,946.43
  6. Step 6: Final answer
    x = 65,810.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.