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Finding the Fourth Proportional to 147,683.54, 203,820.36 and 84,031.31

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Solution

The fourth proportional to 147,683.54, 203,820.36 and 84,031.31 is: 115,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,683.54 : 203,820.36 = 84,031.31 : x
  2. Step 2: Convert to fraction form
    147,683.54/203,820.36 = 84,031.31/x
  3. Step 3: Cross multiply
    147,683.54x = 203,820.36 × 84,031.31
  4. Step 4: Simplify right side
    147,683.54x = 17,127,291,855.47
  5. Step 5: Solve for x
    x = 17,127,291,855.47/147,683.54
  6. Step 6: Final answer
    x = 115,972.92

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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.