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Finding the Fourth Proportional to 201,421.79, 277,956.18 and 110,777.66

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Solution

The fourth proportional to 201,421.79, 277,956.18 and 110,777.66 is: 152,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421.79 : 277,956.18 = 110,777.66 : x
  2. Step 2: Convert to fraction form
    201,421.79/277,956.18 = 110,777.66/x
  3. Step 3: Cross multiply
    201,421.79x = 277,956.18 × 110,777.66
  4. Step 4: Simplify right side
    201,421.79x = 30,791,335,202.94
  5. Step 5: Solve for x
    x = 30,791,335,202.94/201,421.79
  6. Step 6: Final answer
    x = 152,869.93

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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.