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Finding the Fourth Proportional to 51,871.32, 77,808.54 and 20,280.12

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Solution

The fourth proportional to 51,871.32, 77,808.54 and 20,280.12 is: 30,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,871.32 : 77,808.54 = 20,280.12 : x
  2. Step 2: Convert to fraction form
    51,871.32/77,808.54 = 20,280.12/x
  3. Step 3: Cross multiply
    51,871.32x = 77,808.54 × 20,280.12
  4. Step 4: Simplify right side
    51,871.32x = 1,577,966,528.22
  5. Step 5: Solve for x
    x = 1,577,966,528.22/51,871.32
  6. Step 6: Final answer
    x = 30,420.79

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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.