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Finding the Fourth Proportional to 105,801.78, 145,824.62 and 100,819.06

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Solution

The fourth proportional to 105,801.78, 145,824.62 and 100,819.06 is: 138,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801.78 : 145,824.62 = 100,819.06 : x
  2. Step 2: Convert to fraction form
    105,801.78/145,824.62 = 100,819.06/x
  3. Step 3: Cross multiply
    105,801.78x = 145,824.62 × 100,819.06
  4. Step 4: Simplify right side
    105,801.78x = 14,701,901,113.26
  5. Step 5: Solve for x
    x = 14,701,901,113.26/105,801.78
  6. Step 6: Final answer
    x = 138,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.