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Finding the Fourth Proportional to 65,588.46, 98,382.06 and 21,214.23

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Solution

The fourth proportional to 65,588.46, 98,382.06 and 21,214.23 is: 31,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,588.46 : 98,382.06 = 21,214.23 : x
  2. Step 2: Convert to fraction form
    65,588.46/98,382.06 = 21,214.23/x
  3. Step 3: Cross multiply
    65,588.46x = 98,382.06 × 21,214.23
  4. Step 4: Simplify right side
    65,588.46x = 2,087,099,648.71
  5. Step 5: Solve for x
    x = 2,087,099,648.71/65,588.46
  6. Step 6: Final answer
    x = 31,821.14

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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.