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Finding the Fourth Proportional to 102,970.75, 142,118.03 and 74,758.45

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Solution

The fourth proportional to 102,970.75, 142,118.03 and 74,758.45 is: 103,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.75 : 142,118.03 = 74,758.45 : x
  2. Step 2: Convert to fraction form
    102,970.75/142,118.03 = 74,758.45/x
  3. Step 3: Cross multiply
    102,970.75x = 142,118.03 × 74,758.45
  4. Step 4: Simplify right side
    102,970.75x = 10,624,523,639.85
  5. Step 5: Solve for x
    x = 10,624,523,639.85/102,970.75
  6. Step 6: Final answer
    x = 103,180.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.