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Finding the Fourth Proportional to 100,731.61, 151,102.81 and 25,852.40

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Solution

The fourth proportional to 100,731.61, 151,102.81 and 25,852.40 is: 38,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.61 : 151,102.81 = 25,852.40 : x
  2. Step 2: Convert to fraction form
    100,731.61/151,102.81 = 25,852.40/x
  3. Step 3: Cross multiply
    100,731.61x = 151,102.81 × 25,852.40
  4. Step 4: Simplify right side
    100,731.61x = 3,906,370,155.98
  5. Step 5: Solve for x
    x = 3,906,370,155.98/100,731.61
  6. Step 6: Final answer
    x = 38,779.98

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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.