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Finding the Fourth Proportional to 109,415.60, 163,948.36 and 98,918

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Solution

The fourth proportional to 109,415.60, 163,948.36 and 98,918 is: 148,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,415.60 : 163,948.36 = 98,918 : x
  2. Step 2: Convert to fraction form
    109,415.60/163,948.36 = 98,918/x
  3. Step 3: Cross multiply
    109,415.60x = 163,948.36 × 98,918
  4. Step 4: Simplify right side
    109,415.60x = 16,217,443,874.48
  5. Step 5: Solve for x
    x = 16,217,443,874.48/109,415.60
  6. Step 6: Final answer
    x = 148,218.75

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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.