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Finding the Fourth Proportional to 258,225.76, 387,362.94 and 89,719.84

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Solution

The fourth proportional to 258,225.76, 387,362.94 and 89,719.84 is: 134,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,225.76 : 387,362.94 = 89,719.84 : x
  2. Step 2: Convert to fraction form
    258,225.76/387,362.94 = 89,719.84/x
  3. Step 3: Cross multiply
    258,225.76x = 387,362.94 × 89,719.84
  4. Step 4: Simplify right side
    258,225.76x = 34,754,140,998.73
  5. Step 5: Solve for x
    x = 34,754,140,998.73/258,225.76
  6. Step 6: Final answer
    x = 134,588.20

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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.