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Finding the Fourth Proportional to 161,971.76, 243,027.80 and 87,004.43

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Solution

The fourth proportional to 161,971.76, 243,027.80 and 87,004.43 is: 130,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,971.76 : 243,027.80 = 87,004.43 : x
  2. Step 2: Convert to fraction form
    161,971.76/243,027.80 = 87,004.43/x
  3. Step 3: Cross multiply
    161,971.76x = 243,027.80 × 87,004.43
  4. Step 4: Simplify right side
    161,971.76x = 21,144,496,038.23
  5. Step 5: Solve for x
    x = 21,144,496,038.23/161,971.76
  6. Step 6: Final answer
    x = 130,544.34

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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.