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Finding the Fourth Proportional to 56,304, 84,456 and 21,235.46

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Solution

The fourth proportional to 56,304, 84,456 and 21,235.46 is: 31,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,304 : 84,456 = 21,235.46 : x
  2. Step 2: Convert to fraction form
    56,304/84,456 = 21,235.46/x
  3. Step 3: Cross multiply
    56,304x = 84,456 × 21,235.46
  4. Step 4: Simplify right side
    56,304x = 1,793,461,587.48
  5. Step 5: Solve for x
    x = 1,793,461,587.48/56,304
  6. Step 6: Final answer
    x = 31,853.18

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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.