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Finding the Fourth Proportional to 77,300.28, 115,946.51 and 45,297.45

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Solution

The fourth proportional to 77,300.28, 115,946.51 and 45,297.45 is: 67,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,300.28 : 115,946.51 = 45,297.45 : x
  2. Step 2: Convert to fraction form
    77,300.28/115,946.51 = 45,297.45/x
  3. Step 3: Cross multiply
    77,300.28x = 115,946.51 × 45,297.45
  4. Step 4: Simplify right side
    77,300.28x = 5,252,081,012.91
  5. Step 5: Solve for x
    x = 5,252,081,012.91/77,300.28
  6. Step 6: Final answer
    x = 67,943.88

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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.