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Finding the Fourth Proportional to 259,376.70, 357,939.12 and 144,655.50

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Solution

The fourth proportional to 259,376.70, 357,939.12 and 144,655.50 is: 199,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,376.70 : 357,939.12 = 144,655.50 : x
  2. Step 2: Convert to fraction form
    259,376.70/357,939.12 = 144,655.50/x
  3. Step 3: Cross multiply
    259,376.70x = 357,939.12 × 144,655.50
  4. Step 4: Simplify right side
    259,376.70x = 51,777,862,373.16
  5. Step 5: Solve for x
    x = 51,777,862,373.16/259,376.70
  6. Step 6: Final answer
    x = 199,624.19

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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.