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Finding the Fourth Proportional to 48,338, 66,706.62 and 28,208.78

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Solution

The fourth proportional to 48,338, 66,706.62 and 28,208.78 is: 38,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,338 : 66,706.62 = 28,208.78 : x
  2. Step 2: Convert to fraction form
    48,338/66,706.62 = 28,208.78/x
  3. Step 3: Cross multiply
    48,338x = 66,706.62 × 28,208.78
  4. Step 4: Simplify right side
    48,338x = 1,881,712,368.12
  5. Step 5: Solve for x
    x = 1,881,712,368.12/48,338
  6. Step 6: Final answer
    x = 38,928.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.