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Finding the Fourth Proportional to 345,881.52, 518,838.18 and 105,978.24

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Solution

The fourth proportional to 345,881.52, 518,838.18 and 105,978.24 is: 158,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,881.52 : 518,838.18 = 105,978.24 : x
  2. Step 2: Convert to fraction form
    345,881.52/518,838.18 = 105,978.24/x
  3. Step 3: Cross multiply
    345,881.52x = 518,838.18 × 105,978.24
  4. Step 4: Simplify right side
    345,881.52x = 54,985,557,161.20
  5. Step 5: Solve for x
    x = 54,985,557,161.20/345,881.52
  6. Step 6: Final answer
    x = 158,972.23

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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.