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Finding the Fourth Proportional to 109,746.60, 164,619.90 and 65,423.40

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Solution

The fourth proportional to 109,746.60, 164,619.90 and 65,423.40 is: 98,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,746.60 : 164,619.90 = 65,423.40 : x
  2. Step 2: Convert to fraction form
    109,746.60/164,619.90 = 65,423.40/x
  3. Step 3: Cross multiply
    109,746.60x = 164,619.90 × 65,423.40
  4. Step 4: Simplify right side
    109,746.60x = 10,769,993,565.66
  5. Step 5: Solve for x
    x = 10,769,993,565.66/109,746.60
  6. Step 6: Final answer
    x = 98,135.10

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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.