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Finding the Fourth Proportional to 345,742, 518,700.52 and 96,424

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Solution

The fourth proportional to 345,742, 518,700.52 and 96,424 is: 144,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,742 : 518,700.52 = 96,424 : x
  2. Step 2: Convert to fraction form
    345,742/518,700.52 = 96,424/x
  3. Step 3: Cross multiply
    345,742x = 518,700.52 × 96,424
  4. Step 4: Simplify right side
    345,742x = 50,015,178,940.48
  5. Step 5: Solve for x
    x = 50,015,178,940.48/345,742
  6. Step 6: Final answer
    x = 144,660.41

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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.