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Finding the Fourth Proportional to 52,124.40, 78,167.12 and 20,949.12

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Solution

The fourth proportional to 52,124.40, 78,167.12 and 20,949.12 is: 31,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.40 : 78,167.12 = 20,949.12 : x
  2. Step 2: Convert to fraction form
    52,124.40/78,167.12 = 20,949.12/x
  3. Step 3: Cross multiply
    52,124.40x = 78,167.12 × 20,949.12
  4. Step 4: Simplify right side
    52,124.40x = 1,637,532,376.93
  5. Step 5: Solve for x
    x = 1,637,532,376.93/52,124.40
  6. Step 6: Final answer
    x = 31,415.85

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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.