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Finding the Fourth Proportional to 52,806.47, 78,813.07 and 45,659.16

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Solution

The fourth proportional to 52,806.47, 78,813.07 and 45,659.16 is: 68,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.47 : 78,813.07 = 45,659.16 : x
  2. Step 2: Convert to fraction form
    52,806.47/78,813.07 = 45,659.16/x
  3. Step 3: Cross multiply
    52,806.47x = 78,813.07 × 45,659.16
  4. Step 4: Simplify right side
    52,806.47x = 3,598,538,459.07
  5. Step 5: Solve for x
    x = 3,598,538,459.07/52,806.47
  6. Step 6: Final answer
    x = 68,145.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.