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Finding the Fourth Proportional to 97,773.30, 134,957.61 and 77,665.86

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Solution

The fourth proportional to 97,773.30, 134,957.61 and 77,665.86 is: 107,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,773.30 : 134,957.61 = 77,665.86 : x
  2. Step 2: Convert to fraction form
    97,773.30/134,957.61 = 77,665.86/x
  3. Step 3: Cross multiply
    97,773.30x = 134,957.61 × 77,665.86
  4. Step 4: Simplify right side
    97,773.30x = 10,481,598,844.19
  5. Step 5: Solve for x
    x = 10,481,598,844.19/97,773.30
  6. Step 6: Final answer
    x = 107,203.08

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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.