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Finding the Fourth Proportional to 52,050, 78,084.84 and 20,887.68

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Solution

The fourth proportional to 52,050, 78,084.84 and 20,887.68 is: 31,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,050 : 78,084.84 = 20,887.68 : x
  2. Step 2: Convert to fraction form
    52,050/78,084.84 = 20,887.68/x
  3. Step 3: Cross multiply
    52,050x = 78,084.84 × 20,887.68
  4. Step 4: Simplify right side
    52,050x = 1,631,011,150.77
  5. Step 5: Solve for x
    x = 1,631,011,150.77/52,050
  6. Step 6: Final answer
    x = 31,335.47

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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.