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Finding the Fourth Proportional to 121,487.70, 182,145.15 and 46,578.90

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Solution

The fourth proportional to 121,487.70, 182,145.15 and 46,578.90 is: 69,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,487.70 : 182,145.15 = 46,578.90 : x
  2. Step 2: Convert to fraction form
    121,487.70/182,145.15 = 46,578.90/x
  3. Step 3: Cross multiply
    121,487.70x = 182,145.15 × 46,578.90
  4. Step 4: Simplify right side
    121,487.70x = 8,484,120,727.34
  5. Step 5: Solve for x
    x = 8,484,120,727.34/121,487.70
  6. Step 6: Final answer
    x = 69,835.22

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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.