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Finding the Fourth Proportional to 281,952.83, 389,058.95 and 161,101.95

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Solution

The fourth proportional to 281,952.83, 389,058.95 and 161,101.95 is: 222,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952.83 : 389,058.95 = 161,101.95 : x
  2. Step 2: Convert to fraction form
    281,952.83/389,058.95 = 161,101.95/x
  3. Step 3: Cross multiply
    281,952.83x = 389,058.95 × 161,101.95
  4. Step 4: Simplify right side
    281,952.83x = 62,678,153,547.54
  5. Step 5: Solve for x
    x = 62,678,153,547.54/281,952.83
  6. Step 6: Final answer
    x = 222,300.14

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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.