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Finding the Fourth Proportional to 345,730, 518,682.52 and 96,412

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Solution

The fourth proportional to 345,730, 518,682.52 and 96,412 is: 144,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,730 : 518,682.52 = 96,412 : x
  2. Step 2: Convert to fraction form
    345,730/518,682.52 = 96,412/x
  3. Step 3: Cross multiply
    345,730x = 518,682.52 × 96,412
  4. Step 4: Simplify right side
    345,730x = 50,007,219,118.24
  5. Step 5: Solve for x
    x = 50,007,219,118.24/345,730
  6. Step 6: Final answer
    x = 144,642.41

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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.