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Finding the Fourth Proportional to 121,172.78, 181,834.95 and 46,299.30

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Solution

The fourth proportional to 121,172.78, 181,834.95 and 46,299.30 is: 69,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,172.78 : 181,834.95 = 46,299.30 : x
  2. Step 2: Convert to fraction form
    121,172.78/181,834.95 = 46,299.30/x
  3. Step 3: Cross multiply
    121,172.78x = 181,834.95 × 46,299.30
  4. Step 4: Simplify right side
    121,172.78x = 8,418,830,900.54
  5. Step 5: Solve for x
    x = 8,418,830,900.54/121,172.78
  6. Step 6: Final answer
    x = 69,477.91

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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.