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Finding the Fourth Proportional to 98,213.80, 147,320.69 and 28,093.11

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Solution

The fourth proportional to 98,213.80, 147,320.69 and 28,093.11 is: 42,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,213.80 : 147,320.69 = 28,093.11 : x
  2. Step 2: Convert to fraction form
    98,213.80/147,320.69 = 28,093.11/x
  3. Step 3: Cross multiply
    98,213.80x = 147,320.69 × 28,093.11
  4. Step 4: Simplify right side
    98,213.80x = 4,138,696,643.23
  5. Step 5: Solve for x
    x = 4,138,696,643.23/98,213.80
  6. Step 6: Final answer
    x = 42,139.67

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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.