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Finding the Fourth Proportional to 109,689.30, 164,424.60 and 50,421.60

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Solution

The fourth proportional to 109,689.30, 164,424.60 and 50,421.60 is: 75,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689.30 : 164,424.60 = 50,421.60 : x
  2. Step 2: Convert to fraction form
    109,689.30/164,424.60 = 50,421.60/x
  3. Step 3: Cross multiply
    109,689.30x = 164,424.60 × 50,421.60
  4. Step 4: Simplify right side
    109,689.30x = 8,290,551,411.36
  5. Step 5: Solve for x
    x = 8,290,551,411.36/109,689.30
  6. Step 6: Final answer
    x = 75,582.13

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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.