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Finding the Fourth Proportional to 65,852.47, 90,876.42 and 35,637.80

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Solution

The fourth proportional to 65,852.47, 90,876.42 and 35,637.80 is: 49,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.47 : 90,876.42 = 35,637.80 : x
  2. Step 2: Convert to fraction form
    65,852.47/90,876.42 = 35,637.80/x
  3. Step 3: Cross multiply
    65,852.47x = 90,876.42 × 35,637.80
  4. Step 4: Simplify right side
    65,852.47x = 3,238,636,093.30
  5. Step 5: Solve for x
    x = 3,238,636,093.30/65,852.47
  6. Step 6: Final answer
    x = 49,180.17

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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.