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Finding the Fourth Proportional to 262,136, 361,747.68 and 142,904

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Solution

The fourth proportional to 262,136, 361,747.68 and 142,904 is: 197,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,136 : 361,747.68 = 142,904 : x
  2. Step 2: Convert to fraction form
    262,136/361,747.68 = 142,904/x
  3. Step 3: Cross multiply
    262,136x = 361,747.68 × 142,904
  4. Step 4: Simplify right side
    262,136x = 51,695,190,462.72
  5. Step 5: Solve for x
    x = 51,695,190,462.72/262,136
  6. Step 6: Final answer
    x = 197,207.52

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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.