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Finding the Fourth Proportional to 122,009.60, 183,044.40 and 42,048.80

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Solution

The fourth proportional to 122,009.60, 183,044.40 and 42,048.80 is: 63,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,009.60 : 183,044.40 = 42,048.80 : x
  2. Step 2: Convert to fraction form
    122,009.60/183,044.40 = 42,048.80/x
  3. Step 3: Cross multiply
    122,009.60x = 183,044.40 × 42,048.80
  4. Step 4: Simplify right side
    122,009.60x = 7,696,797,366.72
  5. Step 5: Solve for x
    x = 7,696,797,366.72/122,009.60
  6. Step 6: Final answer
    x = 63,083.54

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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.