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Finding the Fourth Proportional to 105,353.78, 145,376.31 and 62,334.59

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Solution

The fourth proportional to 105,353.78, 145,376.31 and 62,334.59 is: 86,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,353.78 : 145,376.31 = 62,334.59 : x
  2. Step 2: Convert to fraction form
    105,353.78/145,376.31 = 62,334.59/x
  3. Step 3: Cross multiply
    105,353.78x = 145,376.31 × 62,334.59
  4. Step 4: Simplify right side
    105,353.78x = 9,061,972,679.56
  5. Step 5: Solve for x
    x = 9,061,972,679.56/105,353.78
  6. Step 6: Final answer
    x = 86,014.69

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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.