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Finding the Fourth Proportional to 109,652.70, 164,187.45 and 69,995.10

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Solution

The fourth proportional to 109,652.70, 164,187.45 and 69,995.10 is: 104,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,652.70 : 164,187.45 = 69,995.10 : x
  2. Step 2: Convert to fraction form
    109,652.70/164,187.45 = 69,995.10/x
  3. Step 3: Cross multiply
    109,652.70x = 164,187.45 × 69,995.10
  4. Step 4: Simplify right side
    109,652.70x = 11,492,316,981.50
  5. Step 5: Solve for x
    x = 11,492,316,981.50/109,652.70
  6. Step 6: Final answer
    x = 104,806.51

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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.