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Finding the Fourth Proportional to 216,523.84, 324,756.12 and 64,718.80

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Solution

The fourth proportional to 216,523.84, 324,756.12 and 64,718.80 is: 97,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,523.84 : 324,756.12 = 64,718.80 : x
  2. Step 2: Convert to fraction form
    216,523.84/324,756.12 = 64,718.80/x
  3. Step 3: Cross multiply
    216,523.84x = 324,756.12 × 64,718.80
  4. Step 4: Simplify right side
    216,523.84x = 21,017,826,379.06
  5. Step 5: Solve for x
    x = 21,017,826,379.06/216,523.84
  6. Step 6: Final answer
    x = 97,069.34

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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.