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Finding the Fourth Proportional to 52,146.59, 78,212.59 and 20,534.11

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Solution

The fourth proportional to 52,146.59, 78,212.59 and 20,534.11 is: 30,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146.59 : 78,212.59 = 20,534.11 : x
  2. Step 2: Convert to fraction form
    52,146.59/78,212.59 = 20,534.11/x
  3. Step 3: Cross multiply
    52,146.59x = 78,212.59 × 20,534.11
  4. Step 4: Simplify right side
    52,146.59x = 1,606,025,679.58
  5. Step 5: Solve for x
    x = 1,606,025,679.58/52,146.59
  6. Step 6: Final answer
    x = 30,798.29

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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.