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Finding the Fourth Proportional to 103,670.30, 142,934.16 and 67,803.50

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Solution

The fourth proportional to 103,670.30, 142,934.16 and 67,803.50 is: 93,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670.30 : 142,934.16 = 67,803.50 : x
  2. Step 2: Convert to fraction form
    103,670.30/142,934.16 = 67,803.50/x
  3. Step 3: Cross multiply
    103,670.30x = 142,934.16 × 67,803.50
  4. Step 4: Simplify right side
    103,670.30x = 9,691,436,317.56
  5. Step 5: Solve for x
    x = 9,691,436,317.56/103,670.30
  6. Step 6: Final answer
    x = 93,483.25

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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.