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Finding the Fourth Proportional to 259,020.70, 357,353.75 and 156,972.54

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Solution

The fourth proportional to 259,020.70, 357,353.75 and 156,972.54 is: 216,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,020.70 : 357,353.75 = 156,972.54 : x
  2. Step 2: Convert to fraction form
    259,020.70/357,353.75 = 156,972.54/x
  3. Step 3: Cross multiply
    259,020.70x = 357,353.75 × 156,972.54
  4. Step 4: Simplify right side
    259,020.70x = 56,094,725,816.03
  5. Step 5: Solve for x
    x = 56,094,725,816.03/259,020.70
  6. Step 6: Final answer
    x = 216,564.64

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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.