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Finding the Fourth Proportional to 81,968.40, 122,875.80 and 64,189.20

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Solution

The fourth proportional to 81,968.40, 122,875.80 and 64,189.20 is: 96,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,968.40 : 122,875.80 = 64,189.20 : x
  2. Step 2: Convert to fraction form
    81,968.40/122,875.80 = 64,189.20/x
  3. Step 3: Cross multiply
    81,968.40x = 122,875.80 × 64,189.20
  4. Step 4: Simplify right side
    81,968.40x = 7,887,299,301.36
  5. Step 5: Solve for x
    x = 7,887,299,301.36/81,968.40
  6. Step 6: Final answer
    x = 96,223.66

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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.