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Finding the Fourth Proportional to 343,154.88, 514,732.32 and 106,434

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Solution

The fourth proportional to 343,154.88, 514,732.32 and 106,434 is: 159,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,154.88 : 514,732.32 = 106,434 : x
  2. Step 2: Convert to fraction form
    343,154.88/514,732.32 = 106,434/x
  3. Step 3: Cross multiply
    343,154.88x = 514,732.32 × 106,434
  4. Step 4: Simplify right side
    343,154.88x = 54,785,019,746.88
  5. Step 5: Solve for x
    x = 54,785,019,746.88/343,154.88
  6. Step 6: Final answer
    x = 159,651

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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.