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Finding the Fourth Proportional to 212,537.61, 318,606.08 and 105,820.83

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Solution

The fourth proportional to 212,537.61, 318,606.08 and 105,820.83 is: 158,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,537.61 : 318,606.08 = 105,820.83 : x
  2. Step 2: Convert to fraction form
    212,537.61/318,606.08 = 105,820.83/x
  3. Step 3: Cross multiply
    212,537.61x = 318,606.08 × 105,820.83
  4. Step 4: Simplify right side
    212,537.61x = 33,715,159,299.54
  5. Step 5: Solve for x
    x = 33,715,159,299.54/212,537.61
  6. Step 6: Final answer
    x = 158,631.50

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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.