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Finding the Fourth Proportional to 212,900.59, 319,344 and 86,503.51

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Solution

The fourth proportional to 212,900.59, 319,344 and 86,503.51 is: 129,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,900.59 : 319,344 = 86,503.51 : x
  2. Step 2: Convert to fraction form
    212,900.59/319,344 = 86,503.51/x
  3. Step 3: Cross multiply
    212,900.59x = 319,344 × 86,503.51
  4. Step 4: Simplify right side
    212,900.59x = 27,624,376,897.44
  5. Step 5: Solve for x
    x = 27,624,376,897.44/212,900.59
  6. Step 6: Final answer
    x = 129,752.47

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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.