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Finding the Fourth Proportional to 76,776, 115,164.16 and 21,372.16

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Solution

The fourth proportional to 76,776, 115,164.16 and 21,372.16 is: 32,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776 : 115,164.16 = 21,372.16 : x
  2. Step 2: Convert to fraction form
    76,776/115,164.16 = 21,372.16/x
  3. Step 3: Cross multiply
    76,776x = 115,164.16 × 21,372.16
  4. Step 4: Simplify right side
    76,776x = 2,461,306,853.79
  5. Step 5: Solve for x
    x = 2,461,306,853.79/76,776
  6. Step 6: Final answer
    x = 32,058.28

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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.