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Finding the Fourth Proportional to 259,309.74, 357,871.06 and 157,361.15

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Solution

The fourth proportional to 259,309.74, 357,871.06 and 157,361.15 is: 217,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,309.74 : 357,871.06 = 157,361.15 : x
  2. Step 2: Convert to fraction form
    259,309.74/357,871.06 = 157,361.15/x
  3. Step 3: Cross multiply
    259,309.74x = 357,871.06 × 157,361.15
  4. Step 4: Simplify right side
    259,309.74x = 56,315,000,631.67
  5. Step 5: Solve for x
    x = 56,315,000,631.67/259,309.74
  6. Step 6: Final answer
    x = 217,172.72

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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.