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Finding the Fourth Proportional to 100,083, 138,114.57 and 62,357.28

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Solution

The fourth proportional to 100,083, 138,114.57 and 62,357.28 is: 86,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,083 : 138,114.57 = 62,357.28 : x
  2. Step 2: Convert to fraction form
    100,083/138,114.57 = 62,357.28/x
  3. Step 3: Cross multiply
    100,083x = 138,114.57 × 62,357.28
  4. Step 4: Simplify right side
    100,083x = 8,612,448,913.57
  5. Step 5: Solve for x
    x = 8,612,448,913.57/100,083
  6. Step 6: Final answer
    x = 86,053.07

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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.