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Finding the Fourth Proportional to 312,521.13, 468,814.64 and 102,158.73

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Solution

The fourth proportional to 312,521.13, 468,814.64 and 102,158.73 is: 153,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,521.13 : 468,814.64 = 102,158.73 : x
  2. Step 2: Convert to fraction form
    312,521.13/468,814.64 = 102,158.73/x
  3. Step 3: Cross multiply
    312,521.13x = 468,814.64 × 102,158.73
  4. Step 4: Simplify right side
    312,521.13x = 47,893,507,717.01
  5. Step 5: Solve for x
    x = 47,893,507,717.01/312,521.13
  6. Step 6: Final answer
    x = 153,248.86

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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.