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Finding the Fourth Proportional to 121,689, 182,533.50 and 38,583

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Solution

The fourth proportional to 121,689, 182,533.50 and 38,583 is: 57,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,689 : 182,533.50 = 38,583 : x
  2. Step 2: Convert to fraction form
    121,689/182,533.50 = 38,583/x
  3. Step 3: Cross multiply
    121,689x = 182,533.50 × 38,583
  4. Step 4: Simplify right side
    121,689x = 7,042,690,030.50
  5. Step 5: Solve for x
    x = 7,042,690,030.50/121,689
  6. Step 6: Final answer
    x = 57,874.50

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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.