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Finding the Fourth Proportional to 258,203.30, 356,353.90 and 145,026.05

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Solution

The fourth proportional to 258,203.30, 356,353.90 and 145,026.05 is: 200,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,203.30 : 356,353.90 = 145,026.05 : x
  2. Step 2: Convert to fraction form
    258,203.30/356,353.90 = 145,026.05/x
  3. Step 3: Cross multiply
    258,203.30x = 356,353.90 × 145,026.05
  4. Step 4: Simplify right side
    258,203.30x = 51,680,596,374.76
  5. Step 5: Solve for x
    x = 51,680,596,374.76/258,203.30
  6. Step 6: Final answer
    x = 200,154.67

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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.