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Finding the Fourth Proportional to 212,899.59, 319,342.50 and 86,502.51

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Solution

The fourth proportional to 212,899.59, 319,342.50 and 86,502.51 is: 129,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,899.59 : 319,342.50 = 86,502.51 : x
  2. Step 2: Convert to fraction form
    212,899.59/319,342.50 = 86,502.51/x
  3. Step 3: Cross multiply
    212,899.59x = 319,342.50 × 86,502.51
  4. Step 4: Simplify right side
    212,899.59x = 27,623,927,799.68
  5. Step 5: Solve for x
    x = 27,623,927,799.68/212,899.59
  6. Step 6: Final answer
    x = 129,750.97

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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.