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Finding the Fourth Proportional to 157,077.47, 216,767.87 and 85,458.01

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Solution

The fourth proportional to 157,077.47, 216,767.87 and 85,458.01 is: 117,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077.47 : 216,767.87 = 85,458.01 : x
  2. Step 2: Convert to fraction form
    157,077.47/216,767.87 = 85,458.01/x
  3. Step 3: Cross multiply
    157,077.47x = 216,767.87 × 85,458.01
  4. Step 4: Simplify right side
    157,077.47x = 18,524,550,473.86
  5. Step 5: Solve for x
    x = 18,524,550,473.86/157,077.47
  6. Step 6: Final answer
    x = 117,932.57

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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.