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Finding the Fourth Proportional to 72,065.16, 108,164.19 and 36,551.40

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Solution

The fourth proportional to 72,065.16, 108,164.19 and 36,551.40 is: 54,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065.16 : 108,164.19 = 36,551.40 : x
  2. Step 2: Convert to fraction form
    72,065.16/108,164.19 = 36,551.40/x
  3. Step 3: Cross multiply
    72,065.16x = 108,164.19 × 36,551.40
  4. Step 4: Simplify right side
    72,065.16x = 3,953,552,574.37
  5. Step 5: Solve for x
    x = 3,953,552,574.37/72,065.16
  6. Step 6: Final answer
    x = 54,860.80

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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.