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Finding the Fourth Proportional to 208,509.52, 287,742 and 113,015.20

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Solution

The fourth proportional to 208,509.52, 287,742 and 113,015.20 is: 155,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.52 : 287,742 = 113,015.20 : x
  2. Step 2: Convert to fraction form
    208,509.52/287,742 = 113,015.20/x
  3. Step 3: Cross multiply
    208,509.52x = 287,742 × 113,015.20
  4. Step 4: Simplify right side
    208,509.52x = 32,519,219,678.40
  5. Step 5: Solve for x
    x = 32,519,219,678.40/208,509.52
  6. Step 6: Final answer
    x = 155,960.36

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1.5x scale

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.