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Finding the Fourth Proportional to 105,349.98, 145,431.74 and 62,315.90

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Solution

The fourth proportional to 105,349.98, 145,431.74 and 62,315.90 is: 86,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349.98 : 145,431.74 = 62,315.90 : x
  2. Step 2: Convert to fraction form
    105,349.98/145,431.74 = 62,315.90/x
  3. Step 3: Cross multiply
    105,349.98x = 145,431.74 × 62,315.90
  4. Step 4: Simplify right side
    105,349.98x = 9,062,709,766.67
  5. Step 5: Solve for x
    x = 9,062,709,766.67/105,349.98
  6. Step 6: Final answer
    x = 86,024.79

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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.