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Finding the Fourth Proportional to 122,486.40, 183,838.95 and 105,865.20

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Solution

The fourth proportional to 122,486.40, 183,838.95 and 105,865.20 is: 158,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,486.40 : 183,838.95 = 105,865.20 : x
  2. Step 2: Convert to fraction form
    122,486.40/183,838.95 = 105,865.20/x
  3. Step 3: Cross multiply
    122,486.40x = 183,838.95 × 105,865.20
  4. Step 4: Simplify right side
    122,486.40x = 19,462,147,209.54
  5. Step 5: Solve for x
    x = 19,462,147,209.54/122,486.40
  6. Step 6: Final answer
    x = 158,892.31

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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.