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Finding the Fourth Proportional to 51,657.84, 77,418.68 and 20,476.08

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Solution

The fourth proportional to 51,657.84, 77,418.68 and 20,476.08 is: 30,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657.84 : 77,418.68 = 20,476.08 : x
  2. Step 2: Convert to fraction form
    51,657.84/77,418.68 = 20,476.08/x
  3. Step 3: Cross multiply
    51,657.84x = 77,418.68 × 20,476.08
  4. Step 4: Simplify right side
    51,657.84x = 1,585,231,085.17
  5. Step 5: Solve for x
    x = 1,585,231,085.17/51,657.84
  6. Step 6: Final answer
    x = 30,687.13

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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.