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Finding the Fourth Proportional to 122,605.65, 183,915.77 and 47,700.90

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Solution

The fourth proportional to 122,605.65, 183,915.77 and 47,700.90 is: 71,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,605.65 : 183,915.77 = 47,700.90 : x
  2. Step 2: Convert to fraction form
    122,605.65/183,915.77 = 47,700.90/x
  3. Step 3: Cross multiply
    122,605.65x = 183,915.77 × 47,700.90
  4. Step 4: Simplify right side
    122,605.65x = 8,772,947,514.69
  5. Step 5: Solve for x
    x = 8,772,947,514.69/122,605.65
  6. Step 6: Final answer
    x = 71,554.19

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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.