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Finding the Fourth Proportional to 55,808.40, 83,639.70 and 40,207.80

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Solution

The fourth proportional to 55,808.40, 83,639.70 and 40,207.80 is: 60,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,808.40 : 83,639.70 = 40,207.80 : x
  2. Step 2: Convert to fraction form
    55,808.40/83,639.70 = 40,207.80/x
  3. Step 3: Cross multiply
    55,808.40x = 83,639.70 × 40,207.80
  4. Step 4: Simplify right side
    55,808.40x = 3,362,968,329.66
  5. Step 5: Solve for x
    x = 3,362,968,329.66/55,808.40
  6. Step 6: Final answer
    x = 60,259.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.