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Finding the Fourth Proportional to 98,203.20, 147,381.60 and 45,619.20

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Solution

The fourth proportional to 98,203.20, 147,381.60 and 45,619.20 is: 68,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,203.20 : 147,381.60 = 45,619.20 : x
  2. Step 2: Convert to fraction form
    98,203.20/147,381.60 = 45,619.20/x
  3. Step 3: Cross multiply
    98,203.20x = 147,381.60 × 45,619.20
  4. Step 4: Simplify right side
    98,203.20x = 6,723,430,686.72
  5. Step 5: Solve for x
    x = 6,723,430,686.72/98,203.20
  6. Step 6: Final answer
    x = 68,464.48

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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.