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Finding the Fourth Proportional to 109,358.90, 164,038.35 and 98,645.30

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Solution

The fourth proportional to 109,358.90, 164,038.35 and 98,645.30 is: 147,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.90 : 164,038.35 = 98,645.30 : x
  2. Step 2: Convert to fraction form
    109,358.90/164,038.35 = 98,645.30/x
  3. Step 3: Cross multiply
    109,358.90x = 164,038.35 × 98,645.30
  4. Step 4: Simplify right side
    109,358.90x = 16,181,612,247.26
  5. Step 5: Solve for x
    x = 16,181,612,247.26/109,358.90
  6. Step 6: Final answer
    x = 147,967.95

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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.