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Finding the Fourth Proportional to 102,599.16, 141,645.72 and 78,208.63

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Solution

The fourth proportional to 102,599.16, 141,645.72 and 78,208.63 is: 107,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.16 : 141,645.72 = 78,208.63 : x
  2. Step 2: Convert to fraction form
    102,599.16/141,645.72 = 78,208.63/x
  3. Step 3: Cross multiply
    102,599.16x = 141,645.72 × 78,208.63
  4. Step 4: Simplify right side
    102,599.16x = 11,077,917,706.56
  5. Step 5: Solve for x
    x = 11,077,917,706.56/102,599.16
  6. Step 6: Final answer
    x = 107,972.79

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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.