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Finding the Fourth Proportional to 130,511.70, 195,767.55 and 78,023.70

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Solution

The fourth proportional to 130,511.70, 195,767.55 and 78,023.70 is: 117,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,511.70 : 195,767.55 = 78,023.70 : x
  2. Step 2: Convert to fraction form
    130,511.70/195,767.55 = 78,023.70/x
  3. Step 3: Cross multiply
    130,511.70x = 195,767.55 × 78,023.70
  4. Step 4: Simplify right side
    130,511.70x = 15,274,508,590.94
  5. Step 5: Solve for x
    x = 15,274,508,590.94/130,511.70
  6. Step 6: Final answer
    x = 117,035.55

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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.