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Finding the Fourth Proportional to 78,378.17, 108,161.06 and 42,568.07

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Solution

The fourth proportional to 78,378.17, 108,161.06 and 42,568.07 is: 58,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.17 : 108,161.06 = 42,568.07 : x
  2. Step 2: Convert to fraction form
    78,378.17/108,161.06 = 42,568.07/x
  3. Step 3: Cross multiply
    78,378.17x = 108,161.06 × 42,568.07
  4. Step 4: Simplify right side
    78,378.17x = 4,604,206,819.71
  5. Step 5: Solve for x
    x = 4,604,206,819.71/78,378.17
  6. Step 6: Final answer
    x = 58,743.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.