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Finding the Fourth Proportional to 138,941.48, 191,738.98 and 75,281

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Solution

The fourth proportional to 138,941.48, 191,738.98 and 75,281 is: 103,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941.48 : 191,738.98 = 75,281 : x
  2. Step 2: Convert to fraction form
    138,941.48/191,738.98 = 75,281/x
  3. Step 3: Cross multiply
    138,941.48x = 191,738.98 × 75,281
  4. Step 4: Simplify right side
    138,941.48x = 14,434,302,153.38
  5. Step 5: Solve for x
    x = 14,434,302,153.38/138,941.48
  6. Step 6: Final answer
    x = 103,887.64

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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.