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Finding the Fourth Proportional to 151,527.42, 209,101.50 and 82,615.38

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Solution

The fourth proportional to 151,527.42, 209,101.50 and 82,615.38 is: 114,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,527.42 : 209,101.50 = 82,615.38 : x
  2. Step 2: Convert to fraction form
    151,527.42/209,101.50 = 82,615.38/x
  3. Step 3: Cross multiply
    151,527.42x = 209,101.50 × 82,615.38
  4. Step 4: Simplify right side
    151,527.42x = 17,274,999,881.07
  5. Step 5: Solve for x
    x = 17,274,999,881.07/151,527.42
  6. Step 6: Final answer
    x = 114,005.77

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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.