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Finding the Fourth Proportional to 40,206.40, 55,482.72 and 22,300

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Solution

The fourth proportional to 40,206.40, 55,482.72 and 22,300 is: 30,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.40 : 55,482.72 = 22,300 : x
  2. Step 2: Convert to fraction form
    40,206.40/55,482.72 = 22,300/x
  3. Step 3: Cross multiply
    40,206.40x = 55,482.72 × 22,300
  4. Step 4: Simplify right side
    40,206.40x = 1,237,264,656
  5. Step 5: Solve for x
    x = 1,237,264,656/40,206.40
  6. Step 6: Final answer
    x = 30,772.83

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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.