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Finding the Fourth Proportional to 162,971.61, 224,911.22 and 91,351.65

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Solution

The fourth proportional to 162,971.61, 224,911.22 and 91,351.65 is: 126,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,971.61 : 224,911.22 = 91,351.65 : x
  2. Step 2: Convert to fraction form
    162,971.61/224,911.22 = 91,351.65/x
  3. Step 3: Cross multiply
    162,971.61x = 224,911.22 × 91,351.65
  4. Step 4: Simplify right side
    162,971.61x = 20,546,011,050.51
  5. Step 5: Solve for x
    x = 20,546,011,050.51/162,971.61
  6. Step 6: Final answer
    x = 126,071.11

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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.