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Finding the Fourth Proportional to 122,071.20, 183,035.52 and 51,914.40

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Solution

The fourth proportional to 122,071.20, 183,035.52 and 51,914.40 is: 77,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,071.20 : 183,035.52 = 51,914.40 : x
  2. Step 2: Convert to fraction form
    122,071.20/183,035.52 = 51,914.40/x
  3. Step 3: Cross multiply
    122,071.20x = 183,035.52 × 51,914.40
  4. Step 4: Simplify right side
    122,071.20x = 9,502,179,199.49
  5. Step 5: Solve for x
    x = 9,502,179,199.49/122,071.20
  6. Step 6: Final answer
    x = 77,841.29

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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.