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Finding the Fourth Proportional to 127,201, 190,801.50 and 39,649

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Solution

The fourth proportional to 127,201, 190,801.50 and 39,649 is: 59,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,201 : 190,801.50 = 39,649 : x
  2. Step 2: Convert to fraction form
    127,201/190,801.50 = 39,649/x
  3. Step 3: Cross multiply
    127,201x = 190,801.50 × 39,649
  4. Step 4: Simplify right side
    127,201x = 7,565,088,673.50
  5. Step 5: Solve for x
    x = 7,565,088,673.50/127,201
  6. Step 6: Final answer
    x = 59,473.50

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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.