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Finding the Fourth Proportional to 91,203.30, 136,838.75 and 31,237.74

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Solution

The fourth proportional to 91,203.30, 136,838.75 and 31,237.74 is: 46,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,203.30 : 136,838.75 = 31,237.74 : x
  2. Step 2: Convert to fraction form
    91,203.30/136,838.75 = 31,237.74/x
  3. Step 3: Cross multiply
    91,203.30x = 136,838.75 × 31,237.74
  4. Step 4: Simplify right side
    91,203.30x = 4,274,533,294.43
  5. Step 5: Solve for x
    x = 4,274,533,294.43/91,203.30
  6. Step 6: Final answer
    x = 46,868.19

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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.