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Finding the Fourth Proportional to 51,655.84, 77,415.68 and 20,474.08

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Solution

The fourth proportional to 51,655.84, 77,415.68 and 20,474.08 is: 30,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655.84 : 77,415.68 = 20,474.08 : x
  2. Step 2: Convert to fraction form
    51,655.84/77,415.68 = 20,474.08/x
  3. Step 3: Cross multiply
    51,655.84x = 77,415.68 × 20,474.08
  4. Step 4: Simplify right side
    51,655.84x = 1,585,014,825.57
  5. Step 5: Solve for x
    x = 1,585,014,825.57/51,655.84
  6. Step 6: Final answer
    x = 30,684.14

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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.