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Finding the Fourth Proportional to 126,603.47, 189,971.22 and 91,830.17

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Solution

The fourth proportional to 126,603.47, 189,971.22 and 91,830.17 is: 137,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,603.47 : 189,971.22 = 91,830.17 : x
  2. Step 2: Convert to fraction form
    126,603.47/189,971.22 = 91,830.17/x
  3. Step 3: Cross multiply
    126,603.47x = 189,971.22 × 91,830.17
  4. Step 4: Simplify right side
    126,603.47x = 17,445,089,427.71
  5. Step 5: Solve for x
    x = 17,445,089,427.71/126,603.47
  6. Step 6: Final answer
    x = 137,793.14

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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.