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Finding the Fourth Proportional to 122,017.80, 183,104.46 and 51,897

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Solution

The fourth proportional to 122,017.80, 183,104.46 and 51,897 is: 77,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,017.80 : 183,104.46 = 51,897 : x
  2. Step 2: Convert to fraction form
    122,017.80/183,104.46 = 51,897/x
  3. Step 3: Cross multiply
    122,017.80x = 183,104.46 × 51,897
  4. Step 4: Simplify right side
    122,017.80x = 9,502,572,160.62
  5. Step 5: Solve for x
    x = 9,502,572,160.62/122,017.80
  6. Step 6: Final answer
    x = 77,878.57

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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.