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Finding the Fourth Proportional to 145,849.51, 201,272.04 and 78,781.51

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Solution

The fourth proportional to 145,849.51, 201,272.04 and 78,781.51 is: 108,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,849.51 : 201,272.04 = 78,781.51 : x
  2. Step 2: Convert to fraction form
    145,849.51/201,272.04 = 78,781.51/x
  3. Step 3: Cross multiply
    145,849.51x = 201,272.04 × 78,781.51
  4. Step 4: Simplify right side
    145,849.51x = 15,856,515,483.57
  5. Step 5: Solve for x
    x = 15,856,515,483.57/145,849.51
  6. Step 6: Final answer
    x = 108,718.33

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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.