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Finding the Fourth Proportional to 135,459.93, 187,025.12 and 84,493.11

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Solution

The fourth proportional to 135,459.93, 187,025.12 and 84,493.11 is: 116,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459.93 : 187,025.12 = 84,493.11 : x
  2. Step 2: Convert to fraction form
    135,459.93/187,025.12 = 84,493.11/x
  3. Step 3: Cross multiply
    135,459.93x = 187,025.12 × 84,493.11
  4. Step 4: Simplify right side
    135,459.93x = 15,802,334,036.92
  5. Step 5: Solve for x
    x = 15,802,334,036.92/135,459.93
  6. Step 6: Final answer
    x = 116,656.89

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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.