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Finding the Fourth Proportional to 72,071.64, 108,062.71 and 29,981.21

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Solution

The fourth proportional to 72,071.64, 108,062.71 and 29,981.21 is: 44,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,071.64 : 108,062.71 = 29,981.21 : x
  2. Step 2: Convert to fraction form
    72,071.64/108,062.71 = 29,981.21/x
  3. Step 3: Cross multiply
    72,071.64x = 108,062.71 × 29,981.21
  4. Step 4: Simplify right side
    72,071.64x = 3,239,850,186.41
  5. Step 5: Solve for x
    x = 3,239,850,186.41/72,071.64
  6. Step 6: Final answer
    x = 44,953.19

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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.