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Finding the Fourth Proportional to 100,929.88, 151,528.74 and 86,233.24

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Solution

The fourth proportional to 100,929.88, 151,528.74 and 86,233.24 is: 129,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,929.88 : 151,528.74 = 86,233.24 : x
  2. Step 2: Convert to fraction form
    100,929.88/151,528.74 = 86,233.24/x
  3. Step 3: Cross multiply
    100,929.88x = 151,528.74 × 86,233.24
  4. Step 4: Simplify right side
    100,929.88x = 13,066,814,203.32
  5. Step 5: Solve for x
    x = 13,066,814,203.32/100,929.88
  6. Step 6: Final answer
    x = 129,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.