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Finding the Fourth Proportional to 31,656.66, 43,657.29 and 27,178.98

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Solution

The fourth proportional to 31,656.66, 43,657.29 and 27,178.98 is: 37,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.66 : 43,657.29 = 27,178.98 : x
  2. Step 2: Convert to fraction form
    31,656.66/43,657.29 = 27,178.98/x
  3. Step 3: Cross multiply
    31,656.66x = 43,657.29 × 27,178.98
  4. Step 4: Simplify right side
    31,656.66x = 1,186,560,611.76
  5. Step 5: Solve for x
    x = 1,186,560,611.76/31,656.66
  6. Step 6: Final answer
    x = 37,482.18

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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.