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Finding the Fourth Proportional to 345,199.52, 517,877.71 and 105,334.87

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Solution

The fourth proportional to 345,199.52, 517,877.71 and 105,334.87 is: 158,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,199.52 : 517,877.71 = 105,334.87 : x
  2. Step 2: Convert to fraction form
    345,199.52/517,877.71 = 105,334.87/x
  3. Step 3: Cross multiply
    345,199.52x = 517,877.71 × 105,334.87
  4. Step 4: Simplify right side
    345,199.52x = 54,550,581,258.75
  5. Step 5: Solve for x
    x = 54,550,581,258.75/345,199.52
  6. Step 6: Final answer
    x = 158,026.24

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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.