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Finding the Fourth Proportional to 77,073, 115,632.81 and 54,627.09

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Solution

The fourth proportional to 77,073, 115,632.81 and 54,627.09 is: 81,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073 : 115,632.81 = 54,627.09 : x
  2. Step 2: Convert to fraction form
    77,073/115,632.81 = 54,627.09/x
  3. Step 3: Cross multiply
    77,073x = 115,632.81 × 54,627.09
  4. Step 4: Simplify right side
    77,073x = 6,316,683,918.82
  5. Step 5: Solve for x
    x = 6,316,683,918.82/77,073
  6. Step 6: Final answer
    x = 81,957.16

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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.