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Finding the Fourth Proportional to 98,975.20, 148,448.40 and 28,847.20

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Solution

The fourth proportional to 98,975.20, 148,448.40 and 28,847.20 is: 43,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,975.20 : 148,448.40 = 28,847.20 : x
  2. Step 2: Convert to fraction form
    98,975.20/148,448.40 = 28,847.20/x
  3. Step 3: Cross multiply
    98,975.20x = 148,448.40 × 28,847.20
  4. Step 4: Simplify right side
    98,975.20x = 4,282,320,684.48
  5. Step 5: Solve for x
    x = 4,282,320,684.48/98,975.20
  6. Step 6: Final answer
    x = 43,266.60

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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.