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Finding the Fourth Proportional to 234,382.91, 323,235.81 and 153,779.81

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Solution

The fourth proportional to 234,382.91, 323,235.81 and 153,779.81 is: 212,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,382.91 : 323,235.81 = 153,779.81 : x
  2. Step 2: Convert to fraction form
    234,382.91/323,235.81 = 153,779.81/x
  3. Step 3: Cross multiply
    234,382.91x = 323,235.81 × 153,779.81
  4. Step 4: Simplify right side
    234,382.91x = 49,707,139,830.82
  5. Step 5: Solve for x
    x = 49,707,139,830.82/234,382.91
  6. Step 6: Final answer
    x = 212,076.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.