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Finding the Fourth Proportional to 208,538.80, 287,785.02 and 113,047

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Solution

The fourth proportional to 208,538.80, 287,785.02 and 113,047 is: 156,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.80 : 287,785.02 = 113,047 : x
  2. Step 2: Convert to fraction form
    208,538.80/287,785.02 = 113,047/x
  3. Step 3: Cross multiply
    208,538.80x = 287,785.02 × 113,047
  4. Step 4: Simplify right side
    208,538.80x = 32,533,233,155.94
  5. Step 5: Solve for x
    x = 32,533,233,155.94/208,538.80
  6. Step 6: Final answer
    x = 156,005.66

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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.