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Finding the Fourth Proportional to 387,713.75, 581,570.63 and 107,231

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Solution

The fourth proportional to 387,713.75, 581,570.63 and 107,231 is: 160,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,713.75 : 581,570.63 = 107,231 : x
  2. Step 2: Convert to fraction form
    387,713.75/581,570.63 = 107,231/x
  3. Step 3: Cross multiply
    387,713.75x = 581,570.63 × 107,231
  4. Step 4: Simplify right side
    387,713.75x = 62,362,400,225.53
  5. Step 5: Solve for x
    x = 62,362,400,225.53/387,713.75
  6. Step 6: Final answer
    x = 160,846.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.