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Finding the Fourth Proportional to 52,033.88, 78,054.47 and 20,869.13

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Solution

The fourth proportional to 52,033.88, 78,054.47 and 20,869.13 is: 31,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.88 : 78,054.47 = 20,869.13 : x
  2. Step 2: Convert to fraction form
    52,033.88/78,054.47 = 20,869.13/x
  3. Step 3: Cross multiply
    52,033.88x = 78,054.47 × 20,869.13
  4. Step 4: Simplify right side
    52,033.88x = 1,628,928,386.89
  5. Step 5: Solve for x
    x = 1,628,928,386.89/52,033.88
  6. Step 6: Final answer
    x = 31,305.15

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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.