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Finding the Fourth Proportional to 65,315.16, 97,980.84 and 18,571.68

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Solution

The fourth proportional to 65,315.16, 97,980.84 and 18,571.68 is: 27,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.16 : 97,980.84 = 18,571.68 : x
  2. Step 2: Convert to fraction form
    65,315.16/97,980.84 = 18,571.68/x
  3. Step 3: Cross multiply
    65,315.16x = 97,980.84 × 18,571.68
  4. Step 4: Simplify right side
    65,315.16x = 1,819,668,806.61
  5. Step 5: Solve for x
    x = 1,819,668,806.61/65,315.16
  6. Step 6: Final answer
    x = 27,859.82

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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.