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Finding the Fourth Proportional to 205,283.82, 308,031.42 and 155,347.32

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Solution

The fourth proportional to 205,283.82, 308,031.42 and 155,347.32 is: 233,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,283.82 : 308,031.42 = 155,347.32 : x
  2. Step 2: Convert to fraction form
    205,283.82/308,031.42 = 155,347.32/x
  3. Step 3: Cross multiply
    205,283.82x = 308,031.42 × 155,347.32
  4. Step 4: Simplify right side
    205,283.82x = 47,851,855,572.79
  5. Step 5: Solve for x
    x = 47,851,855,572.79/205,283.82
  6. Step 6: Final answer
    x = 233,100.96

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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.