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Finding the Fourth Proportional to 103,342, 154,973.64 and 61,233.96

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Solution

The fourth proportional to 103,342, 154,973.64 and 61,233.96 is: 91,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,342 : 154,973.64 = 61,233.96 : x
  2. Step 2: Convert to fraction form
    103,342/154,973.64 = 61,233.96/x
  3. Step 3: Cross multiply
    103,342x = 154,973.64 × 61,233.96
  4. Step 4: Simplify right side
    103,342x = 9,489,649,672.81
  5. Step 5: Solve for x
    x = 9,489,649,672.81/103,342
  6. Step 6: Final answer
    x = 91,827.62

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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.