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Finding the Fourth Proportional to 115,762.76, 159,753.21 and 64,775.60

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Solution

The fourth proportional to 115,762.76, 159,753.21 and 64,775.60 is: 89,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,762.76 : 159,753.21 = 64,775.60 : x
  2. Step 2: Convert to fraction form
    115,762.76/159,753.21 = 64,775.60/x
  3. Step 3: Cross multiply
    115,762.76x = 159,753.21 × 64,775.60
  4. Step 4: Simplify right side
    115,762.76x = 10,348,109,230.91
  5. Step 5: Solve for x
    x = 10,348,109,230.91/115,762.76
  6. Step 6: Final answer
    x = 89,390.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.