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Finding the Fourth Proportional to 40,364, 55,702.56 and 22,700

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Solution

The fourth proportional to 40,364, 55,702.56 and 22,700 is: 31,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,364 : 55,702.56 = 22,700 : x
  2. Step 2: Convert to fraction form
    40,364/55,702.56 = 22,700/x
  3. Step 3: Cross multiply
    40,364x = 55,702.56 × 22,700
  4. Step 4: Simplify right side
    40,364x = 1,264,448,112
  5. Step 5: Solve for x
    x = 1,264,448,112/40,364
  6. Step 6: Final answer
    x = 31,326.13

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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.