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Finding the Fourth Proportional to 100,612.54, 138,848.07 and 55,903.42

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Solution

The fourth proportional to 100,612.54, 138,848.07 and 55,903.42 is: 77,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.54 : 138,848.07 = 55,903.42 : x
  2. Step 2: Convert to fraction form
    100,612.54/138,848.07 = 55,903.42/x
  3. Step 3: Cross multiply
    100,612.54x = 138,848.07 × 55,903.42
  4. Step 4: Simplify right side
    100,612.54x = 7,762,081,973.40
  5. Step 5: Solve for x
    x = 7,762,081,973.40/100,612.54
  6. Step 6: Final answer
    x = 77,148.26

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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.