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Finding the Fourth Proportional to 102,557.90, 153,859.11 and 31,480.82

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Solution

The fourth proportional to 102,557.90, 153,859.11 and 31,480.82 is: 47,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.90 : 153,859.11 = 31,480.82 : x
  2. Step 2: Convert to fraction form
    102,557.90/153,859.11 = 31,480.82/x
  3. Step 3: Cross multiply
    102,557.90x = 153,859.11 × 31,480.82
  4. Step 4: Simplify right side
    102,557.90x = 4,843,610,947.27
  5. Step 5: Solve for x
    x = 4,843,610,947.27/102,557.90
  6. Step 6: Final answer
    x = 47,228.06

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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.