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Finding the Fourth Proportional to 72,330.57, 108,495.86 and 19,741.46

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Solution

The fourth proportional to 72,330.57, 108,495.86 and 19,741.46 is: 29,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,330.57 : 108,495.86 = 19,741.46 : x
  2. Step 2: Convert to fraction form
    72,330.57/108,495.86 = 19,741.46/x
  3. Step 3: Cross multiply
    72,330.57x = 108,495.86 × 19,741.46
  4. Step 4: Simplify right side
    72,330.57x = 2,141,866,039.17
  5. Step 5: Solve for x
    x = 2,141,866,039.17/72,330.57
  6. Step 6: Final answer
    x = 29,612.18

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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.