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Finding the Fourth Proportional to 113,974.74, 157,280.53 and 66,224.32

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Solution

The fourth proportional to 113,974.74, 157,280.53 and 66,224.32 is: 91,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,974.74 : 157,280.53 = 66,224.32 : x
  2. Step 2: Convert to fraction form
    113,974.74/157,280.53 = 66,224.32/x
  3. Step 3: Cross multiply
    113,974.74x = 157,280.53 × 66,224.32
  4. Step 4: Simplify right side
    113,974.74x = 10,415,796,148.49
  5. Step 5: Solve for x
    x = 10,415,796,148.49/113,974.74
  6. Step 6: Final answer
    x = 91,386.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.