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Finding the Fourth Proportional to 202,066.67, 278,947.65 and 117,152.75

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Solution

The fourth proportional to 202,066.67, 278,947.65 and 117,152.75 is: 161,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,066.67 : 278,947.65 = 117,152.75 : x
  2. Step 2: Convert to fraction form
    202,066.67/278,947.65 = 117,152.75/x
  3. Step 3: Cross multiply
    202,066.67x = 278,947.65 × 117,152.75
  4. Step 4: Simplify right side
    202,066.67x = 32,679,484,303.54
  5. Step 5: Solve for x
    x = 32,679,484,303.54/202,066.67
  6. Step 6: Final answer
    x = 161,726.25

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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.