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Finding the Fourth Proportional to 159,765.54, 221,408.46 and 157,510.50

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Solution

The fourth proportional to 159,765.54, 221,408.46 and 157,510.50 is: 218,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,765.54 : 221,408.46 = 157,510.50 : x
  2. Step 2: Convert to fraction form
    159,765.54/221,408.46 = 157,510.50/x
  3. Step 3: Cross multiply
    159,765.54x = 221,408.46 × 157,510.50
  4. Step 4: Simplify right side
    159,765.54x = 34,874,157,238.83
  5. Step 5: Solve for x
    x = 34,874,157,238.83/159,765.54
  6. Step 6: Final answer
    x = 218,283.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.