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Finding the Fourth Proportional to 81,972, 122,987.16 and 40,448.16

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Solution

The fourth proportional to 81,972, 122,987.16 and 40,448.16 is: 60,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,972 : 122,987.16 = 40,448.16 : x
  2. Step 2: Convert to fraction form
    81,972/122,987.16 = 40,448.16/x
  3. Step 3: Cross multiply
    81,972x = 122,987.16 × 40,448.16
  4. Step 4: Simplify right side
    81,972x = 4,974,604,325.63
  5. Step 5: Solve for x
    x = 4,974,604,325.63/81,972
  6. Step 6: Final answer
    x = 60,686.63

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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.