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Finding the Fourth Proportional to 197,341.76, 296,090.48 and 86,456

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Solution

The fourth proportional to 197,341.76, 296,090.48 and 86,456 is: 129,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,341.76 : 296,090.48 = 86,456 : x
  2. Step 2: Convert to fraction form
    197,341.76/296,090.48 = 86,456/x
  3. Step 3: Cross multiply
    197,341.76x = 296,090.48 × 86,456
  4. Step 4: Simplify right side
    197,341.76x = 25,598,798,538.88
  5. Step 5: Solve for x
    x = 25,598,798,538.88/197,341.76
  6. Step 6: Final answer
    x = 129,718.10

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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.