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Finding the Fourth Proportional to 157,232.60, 216,947.40 and 99,890

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Solution

The fourth proportional to 157,232.60, 216,947.40 and 99,890 is: 137,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232.60 : 216,947.40 = 99,890 : x
  2. Step 2: Convert to fraction form
    157,232.60/216,947.40 = 99,890/x
  3. Step 3: Cross multiply
    157,232.60x = 216,947.40 × 99,890
  4. Step 4: Simplify right side
    157,232.60x = 21,670,875,786
  5. Step 5: Solve for x
    x = 21,670,875,786/157,232.60
  6. Step 6: Final answer
    x = 137,826.86

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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.