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Finding the Fourth Proportional to 142,657.61, 196,865.08 and 78,994.04

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Solution

The fourth proportional to 142,657.61, 196,865.08 and 78,994.04 is: 109,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.61 : 196,865.08 = 78,994.04 : x
  2. Step 2: Convert to fraction form
    142,657.61/196,865.08 = 78,994.04/x
  3. Step 3: Cross multiply
    142,657.61x = 196,865.08 × 78,994.04
  4. Step 4: Simplify right side
    142,657.61x = 15,551,168,004.12
  5. Step 5: Solve for x
    x = 15,551,168,004.12/142,657.61
  6. Step 6: Final answer
    x = 109,010.43

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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.