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Finding the Fourth Proportional to 102,311.82, 153,367.50 and 48,988.74

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Solution

The fourth proportional to 102,311.82, 153,367.50 and 48,988.74 is: 73,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311.82 : 153,367.50 = 48,988.74 : x
  2. Step 2: Convert to fraction form
    102,311.82/153,367.50 = 48,988.74/x
  3. Step 3: Cross multiply
    102,311.82x = 153,367.50 × 48,988.74
  4. Step 4: Simplify right side
    102,311.82x = 7,513,280,581.95
  5. Step 5: Solve for x
    x = 7,513,280,581.95/102,311.82
  6. Step 6: Final answer
    x = 73,435.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.