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Finding the Fourth Proportional to 142,655.63, 196,862.34 and 78,992.06

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Solution

The fourth proportional to 142,655.63, 196,862.34 and 78,992.06 is: 109,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.63 : 196,862.34 = 78,992.06 : x
  2. Step 2: Convert to fraction form
    142,655.63/196,862.34 = 78,992.06/x
  3. Step 3: Cross multiply
    142,655.63x = 196,862.34 × 78,992.06
  4. Step 4: Simplify right side
    142,655.63x = 15,550,560,788.71
  5. Step 5: Solve for x
    x = 15,550,560,788.71/142,655.63
  6. Step 6: Final answer
    x = 109,007.69

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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.