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Finding the Fourth Proportional to 212,428.98, 318,640.50 and 86,068.17

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Solution

The fourth proportional to 212,428.98, 318,640.50 and 86,068.17 is: 129,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,428.98 : 318,640.50 = 86,068.17 : x
  2. Step 2: Convert to fraction form
    212,428.98/318,640.50 = 86,068.17/x
  3. Step 3: Cross multiply
    212,428.98x = 318,640.50 × 86,068.17
  4. Step 4: Simplify right side
    212,428.98x = 27,424,804,722.89
  5. Step 5: Solve for x
    x = 27,424,804,722.89/212,428.98
  6. Step 6: Final answer
    x = 129,101.05

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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.