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Finding the Fourth Proportional to 72,314.21, 108,284.40 and 49,894.02

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Solution

The fourth proportional to 72,314.21, 108,284.40 and 49,894.02 is: 74,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.21 : 108,284.40 = 49,894.02 : x
  2. Step 2: Convert to fraction form
    72,314.21/108,284.40 = 49,894.02/x
  3. Step 3: Cross multiply
    72,314.21x = 108,284.40 × 49,894.02
  4. Step 4: Simplify right side
    72,314.21x = 5,402,744,019.29
  5. Step 5: Solve for x
    x = 5,402,744,019.29/72,314.21
  6. Step 6: Final answer
    x = 74,712.07

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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.