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Finding the Fourth Proportional to 145,963.20, 218,599.20 and 98,961.60

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Solution

The fourth proportional to 145,963.20, 218,599.20 and 98,961.60 is: 148,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,963.20 : 218,599.20 = 98,961.60 : x
  2. Step 2: Convert to fraction form
    145,963.20/218,599.20 = 98,961.60/x
  3. Step 3: Cross multiply
    145,963.20x = 218,599.20 × 98,961.60
  4. Step 4: Simplify right side
    145,963.20x = 21,632,926,590.72
  5. Step 5: Solve for x
    x = 21,632,926,590.72/145,963.20
  6. Step 6: Final answer
    x = 148,208.09

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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.