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Finding the Fourth Proportional to 208,561.80, 287,816.76 and 113,070

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Solution

The fourth proportional to 208,561.80, 287,816.76 and 113,070 is: 156,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,561.80 : 287,816.76 = 113,070 : x
  2. Step 2: Convert to fraction form
    208,561.80/287,816.76 = 113,070/x
  3. Step 3: Cross multiply
    208,561.80x = 287,816.76 × 113,070
  4. Step 4: Simplify right side
    208,561.80x = 32,543,441,053.20
  5. Step 5: Solve for x
    x = 32,543,441,053.20/208,561.80
  6. Step 6: Final answer
    x = 156,037.40

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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.