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Finding the Fourth Proportional to 166,681.50, 230,020.47 and 91,230

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Solution

The fourth proportional to 166,681.50, 230,020.47 and 91,230 is: 125,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,681.50 : 230,020.47 = 91,230 : x
  2. Step 2: Convert to fraction form
    166,681.50/230,020.47 = 91,230/x
  3. Step 3: Cross multiply
    166,681.50x = 230,020.47 × 91,230
  4. Step 4: Simplify right side
    166,681.50x = 20,984,767,478.10
  5. Step 5: Solve for x
    x = 20,984,767,478.10/166,681.50
  6. Step 6: Final answer
    x = 125,897.40

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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.