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Finding the Fourth Proportional to 130,970.81, 196,454.78 and 78,394.97

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Solution

The fourth proportional to 130,970.81, 196,454.78 and 78,394.97 is: 117,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,970.81 : 196,454.78 = 78,394.97 : x
  2. Step 2: Convert to fraction form
    130,970.81/196,454.78 = 78,394.97/x
  3. Step 3: Cross multiply
    130,970.81x = 196,454.78 × 78,394.97
  4. Step 4: Simplify right side
    130,970.81x = 15,401,066,192.48
  5. Step 5: Solve for x
    x = 15,401,066,192.48/130,970.81
  6. Step 6: Final answer
    x = 117,591.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.