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Finding the Fourth Proportional to 48,390, 66,772.80 and 27,166.32

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Solution

The fourth proportional to 48,390, 66,772.80 and 27,166.32 is: 37,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,390 : 66,772.80 = 27,166.32 : x
  2. Step 2: Convert to fraction form
    48,390/66,772.80 = 27,166.32/x
  3. Step 3: Cross multiply
    48,390x = 66,772.80 × 27,166.32
  4. Step 4: Simplify right side
    48,390x = 1,813,971,252.10
  5. Step 5: Solve for x
    x = 1,813,971,252.10/48,390
  6. Step 6: Final answer
    x = 37,486.49

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1.5x scale

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.