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Finding the Fourth Proportional to 103,522.90, 155,284.35 and 91,713.10

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Solution

The fourth proportional to 103,522.90, 155,284.35 and 91,713.10 is: 137,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,522.90 : 155,284.35 = 91,713.10 : x
  2. Step 2: Convert to fraction form
    103,522.90/155,284.35 = 91,713.10/x
  3. Step 3: Cross multiply
    103,522.90x = 155,284.35 × 91,713.10
  4. Step 4: Simplify right side
    103,522.90x = 14,241,609,119.99
  5. Step 5: Solve for x
    x = 14,241,609,119.99/103,522.90
  6. Step 6: Final answer
    x = 137,569.65

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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.