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Finding the Fourth Proportional to 100,712, 138,982.56 and 55,999.04

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Solution

The fourth proportional to 100,712, 138,982.56 and 55,999.04 is: 77,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712 : 138,982.56 = 55,999.04 : x
  2. Step 2: Convert to fraction form
    100,712/138,982.56 = 55,999.04/x
  3. Step 3: Cross multiply
    100,712x = 138,982.56 × 55,999.04
  4. Step 4: Simplify right side
    100,712x = 7,782,889,936.74
  5. Step 5: Solve for x
    x = 7,782,889,936.74/100,712
  6. Step 6: Final answer
    x = 77,278.68

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1.5x scale

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.