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Finding the Fourth Proportional to 268,005.36, 402,066.36 and 81,012

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Solution

The fourth proportional to 268,005.36, 402,066.36 and 81,012 is: 121,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,005.36 : 402,066.36 = 81,012 : x
  2. Step 2: Convert to fraction form
    268,005.36/402,066.36 = 81,012/x
  3. Step 3: Cross multiply
    268,005.36x = 402,066.36 × 81,012
  4. Step 4: Simplify right side
    268,005.36x = 32,572,199,956.32
  5. Step 5: Solve for x
    x = 32,572,199,956.32/268,005.36
  6. Step 6: Final answer
    x = 121,535.63

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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.