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Finding the Fourth Proportional to 98,435.20, 147,674.40 and 48,539.20

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Solution

The fourth proportional to 98,435.20, 147,674.40 and 48,539.20 is: 72,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,435.20 : 147,674.40 = 48,539.20 : x
  2. Step 2: Convert to fraction form
    98,435.20/147,674.40 = 48,539.20/x
  3. Step 3: Cross multiply
    98,435.20x = 147,674.40 × 48,539.20
  4. Step 4: Simplify right side
    98,435.20x = 7,167,997,236.48
  5. Step 5: Solve for x
    x = 7,167,997,236.48/98,435.20
  6. Step 6: Final answer
    x = 72,819.45

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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.