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Finding the Fourth Proportional to 263,756.60, 363,984.47 and 142,897.89

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Solution

The fourth proportional to 263,756.60, 363,984.47 and 142,897.89 is: 197,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,756.60 : 363,984.47 = 142,897.89 : x
  2. Step 2: Convert to fraction form
    263,756.60/363,984.47 = 142,897.89/x
  3. Step 3: Cross multiply
    263,756.60x = 363,984.47 × 142,897.89
  4. Step 4: Simplify right side
    263,756.60x = 52,012,612,041.28
  5. Step 5: Solve for x
    x = 52,012,612,041.28/263,756.60
  6. Step 6: Final answer
    x = 197,199.29

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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.