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Finding the Fourth Proportional to 116,218.14, 160,416.10 and 100,471.74

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Solution

The fourth proportional to 116,218.14, 160,416.10 and 100,471.74 is: 138,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,218.14 : 160,416.10 = 100,471.74 : x
  2. Step 2: Convert to fraction form
    116,218.14/160,416.10 = 100,471.74/x
  3. Step 3: Cross multiply
    116,218.14x = 160,416.10 × 100,471.74
  4. Step 4: Simplify right side
    116,218.14x = 16,117,284,691.01
  5. Step 5: Solve for x
    x = 16,117,284,691.01/116,218.14
  6. Step 6: Final answer
    x = 138,681.32

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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.