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Finding the Fourth Proportional to 212,703.49, 319,054.33 and 86,342.66

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Solution

The fourth proportional to 212,703.49, 319,054.33 and 86,342.66 is: 129,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,703.49 : 319,054.33 = 86,342.66 : x
  2. Step 2: Convert to fraction form
    212,703.49/319,054.33 = 86,342.66/x
  3. Step 3: Cross multiply
    212,703.49x = 319,054.33 × 86,342.66
  4. Step 4: Simplify right side
    212,703.49x = 27,547,999,536.72
  5. Step 5: Solve for x
    x = 27,547,999,536.72/212,703.49
  6. Step 6: Final answer
    x = 129,513.62

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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.