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Finding the Fourth Proportional to 214,898.90, 322,412.74 and 86,749.20

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Solution

The fourth proportional to 214,898.90, 322,412.74 and 86,749.20 is: 130,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,898.90 : 322,412.74 = 86,749.20 : x
  2. Step 2: Convert to fraction form
    214,898.90/322,412.74 = 86,749.20/x
  3. Step 3: Cross multiply
    214,898.90x = 322,412.74 × 86,749.20
  4. Step 4: Simplify right side
    214,898.90x = 27,969,047,264.81
  5. Step 5: Solve for x
    x = 27,969,047,264.81/214,898.90
  6. Step 6: Final answer
    x = 130,149.79

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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.