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Finding the Fourth Proportional to 105,313.76, 145,320 and 62,864

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Solution

The fourth proportional to 105,313.76, 145,320 and 62,864 is: 86,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,313.76 : 145,320 = 62,864 : x
  2. Step 2: Convert to fraction form
    105,313.76/145,320 = 62,864/x
  3. Step 3: Cross multiply
    105,313.76x = 145,320 × 62,864
  4. Step 4: Simplify right side
    105,313.76x = 9,135,396,480
  5. Step 5: Solve for x
    x = 9,135,396,480/105,313.76
  6. Step 6: Final answer
    x = 86,744.57

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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.