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Finding the Fourth Proportional to 157,530.66, 217,269.44 and 100,947.30

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Solution

The fourth proportional to 157,530.66, 217,269.44 and 100,947.30 is: 139,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,530.66 : 217,269.44 = 100,947.30 : x
  2. Step 2: Convert to fraction form
    157,530.66/217,269.44 = 100,947.30/x
  3. Step 3: Cross multiply
    157,530.66x = 217,269.44 × 100,947.30
  4. Step 4: Simplify right side
    157,530.66x = 21,932,763,340.51
  5. Step 5: Solve for x
    x = 21,932,763,340.51/157,530.66
  6. Step 6: Final answer
    x = 139,228.54

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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.