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Finding the Fourth Proportional to 261,804.73, 361,291.97 and 147,088.21

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Solution

The fourth proportional to 261,804.73, 361,291.97 and 147,088.21 is: 202,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804.73 : 361,291.97 = 147,088.21 : x
  2. Step 2: Convert to fraction form
    261,804.73/361,291.97 = 147,088.21/x
  3. Step 3: Cross multiply
    261,804.73x = 361,291.97 × 147,088.21
  4. Step 4: Simplify right side
    261,804.73x = 53,141,788,619.16
  5. Step 5: Solve for x
    x = 53,141,788,619.16/261,804.73
  6. Step 6: Final answer
    x = 202,982.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.