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Finding the Fourth Proportional to 105,270.40, 157,955.40 and 54,642.52

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Solution

The fourth proportional to 105,270.40, 157,955.40 and 54,642.52 is: 81,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,270.40 : 157,955.40 = 54,642.52 : x
  2. Step 2: Convert to fraction form
    105,270.40/157,955.40 = 54,642.52/x
  3. Step 3: Cross multiply
    105,270.40x = 157,955.40 × 54,642.52
  4. Step 4: Simplify right side
    105,270.40x = 8,631,081,103.61
  5. Step 5: Solve for x
    x = 8,631,081,103.61/105,270.40
  6. Step 6: Final answer
    x = 81,989.63

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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.