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Finding the Fourth Proportional to 135,484.58, 186,978.58 and 81,782.66

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Solution

The fourth proportional to 135,484.58, 186,978.58 and 81,782.66 is: 112,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,484.58 : 186,978.58 = 81,782.66 : x
  2. Step 2: Convert to fraction form
    135,484.58/186,978.58 = 81,782.66/x
  3. Step 3: Cross multiply
    135,484.58x = 186,978.58 × 81,782.66
  4. Step 4: Simplify right side
    135,484.58x = 15,291,605,635.42
  5. Step 5: Solve for x
    x = 15,291,605,635.42/135,484.58
  6. Step 6: Final answer
    x = 112,866.02

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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.