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Finding the Fourth Proportional to 142,364, 196,445.27 and 78,693.14

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Solution

The fourth proportional to 142,364, 196,445.27 and 78,693.14 is: 108,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,364 : 196,445.27 = 78,693.14 : x
  2. Step 2: Convert to fraction form
    142,364/196,445.27 = 78,693.14/x
  3. Step 3: Cross multiply
    142,364x = 196,445.27 × 78,693.14
  4. Step 4: Simplify right side
    142,364x = 15,458,894,740.98
  5. Step 5: Solve for x
    x = 15,458,894,740.98/142,364
  6. Step 6: Final answer
    x = 108,587.11

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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.