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Finding the Fourth Proportional to 109,165.50, 163,748.25 and 43,547.58

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Solution

The fourth proportional to 109,165.50, 163,748.25 and 43,547.58 is: 65,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.50 : 163,748.25 = 43,547.58 : x
  2. Step 2: Convert to fraction form
    109,165.50/163,748.25 = 43,547.58/x
  3. Step 3: Cross multiply
    109,165.50x = 163,748.25 × 43,547.58
  4. Step 4: Simplify right side
    109,165.50x = 7,130,840,016.74
  5. Step 5: Solve for x
    x = 7,130,840,016.74/109,165.50
  6. Step 6: Final answer
    x = 65,321.37

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1.5x scale

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.