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Finding the Fourth Proportional to 219,712.70, 329,678.40 and 86,597.30

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Solution

The fourth proportional to 219,712.70, 329,678.40 and 86,597.30 is: 129,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,712.70 : 329,678.40 = 86,597.30 : x
  2. Step 2: Convert to fraction form
    219,712.70/329,678.40 = 86,597.30/x
  3. Step 3: Cross multiply
    219,712.70x = 329,678.40 × 86,597.30
  4. Step 4: Simplify right side
    219,712.70x = 28,549,259,308.32
  5. Step 5: Solve for x
    x = 28,549,259,308.32/219,712.70
  6. Step 6: Final answer
    x = 129,939.05

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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.