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Finding the Fourth Proportional to 103,486.75, 142,811.90 and 58,774.75

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Solution

The fourth proportional to 103,486.75, 142,811.90 and 58,774.75 is: 81,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,486.75 : 142,811.90 = 58,774.75 : x
  2. Step 2: Convert to fraction form
    103,486.75/142,811.90 = 58,774.75/x
  3. Step 3: Cross multiply
    103,486.75x = 142,811.90 × 58,774.75
  4. Step 4: Simplify right side
    103,486.75x = 8,393,733,719.53
  5. Step 5: Solve for x
    x = 8,393,733,719.53/103,486.75
  6. Step 6: Final answer
    x = 81,109.26

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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.