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Finding the Fourth Proportional to 113,807.96, 157,054.12 and 66,065.76

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Solution

The fourth proportional to 113,807.96, 157,054.12 and 66,065.76 is: 91,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,807.96 : 157,054.12 = 66,065.76 : x
  2. Step 2: Convert to fraction form
    113,807.96/157,054.12 = 66,065.76/x
  3. Step 3: Cross multiply
    113,807.96x = 157,054.12 × 66,065.76
  4. Step 4: Simplify right side
    113,807.96x = 10,375,899,798.93
  5. Step 5: Solve for x
    x = 10,375,899,798.93/113,807.96
  6. Step 6: Final answer
    x = 91,170.25

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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.