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Finding the Fourth Proportional to 115,074.76, 158,734.74 and 70,285

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Solution

The fourth proportional to 115,074.76, 158,734.74 and 70,285 is: 96,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,074.76 : 158,734.74 = 70,285 : x
  2. Step 2: Convert to fraction form
    115,074.76/158,734.74 = 70,285/x
  3. Step 3: Cross multiply
    115,074.76x = 158,734.74 × 70,285
  4. Step 4: Simplify right side
    115,074.76x = 11,156,671,200.90
  5. Step 5: Solve for x
    x = 11,156,671,200.90/115,074.76
  6. Step 6: Final answer
    x = 96,951.51

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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.