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Finding the Fourth Proportional to 177,990, 266,777.64 and 99,066.48

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Solution

The fourth proportional to 177,990, 266,777.64 and 99,066.48 is: 148,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,990 : 266,777.64 = 99,066.48 : x
  2. Step 2: Convert to fraction form
    177,990/266,777.64 = 99,066.48/x
  3. Step 3: Cross multiply
    177,990x = 266,777.64 × 99,066.48
  4. Step 4: Simplify right side
    177,990x = 26,428,721,737.51
  5. Step 5: Solve for x
    x = 26,428,721,737.51/177,990
  6. Step 6: Final answer
    x = 148,484.31

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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.