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Finding the Fourth Proportional to 164,812.73, 247,071.47 and 85,836.51

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Solution

The fourth proportional to 164,812.73, 247,071.47 and 85,836.51 is: 128,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,812.73 : 247,071.47 = 85,836.51 : x
  2. Step 2: Convert to fraction form
    164,812.73/247,071.47 = 85,836.51/x
  3. Step 3: Cross multiply
    164,812.73x = 247,071.47 × 85,836.51
  4. Step 4: Simplify right side
    164,812.73x = 21,207,752,276.19
  5. Step 5: Solve for x
    x = 21,207,752,276.19/164,812.73
  6. Step 6: Final answer
    x = 128,677.88

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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.