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Finding the Fourth Proportional to 208,765.04, 313,014.35 and 137,605.52

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Solution

The fourth proportional to 208,765.04, 313,014.35 and 137,605.52 is: 206,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,765.04 : 313,014.35 = 137,605.52 : x
  2. Step 2: Convert to fraction form
    208,765.04/313,014.35 = 137,605.52/x
  3. Step 3: Cross multiply
    208,765.04x = 313,014.35 × 137,605.52
  4. Step 4: Simplify right side
    208,765.04x = 43,072,502,399.21
  5. Step 5: Solve for x
    x = 43,072,502,399.21/208,765.04
  6. Step 6: Final answer
    x = 206,320.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.