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Finding the Fourth Proportional to 242,500.32, 363,806.64 and 76,284

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Solution

The fourth proportional to 242,500.32, 363,806.64 and 76,284 is: 114,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,500.32 : 363,806.64 = 76,284 : x
  2. Step 2: Convert to fraction form
    242,500.32/363,806.64 = 76,284/x
  3. Step 3: Cross multiply
    242,500.32x = 363,806.64 × 76,284
  4. Step 4: Simplify right side
    242,500.32x = 27,752,625,725.76
  5. Step 5: Solve for x
    x = 27,752,625,725.76/242,500.32
  6. Step 6: Final answer
    x = 114,443.67

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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.