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Finding the Fourth Proportional to 208,032.30, 312,048.45 and 67,805.10

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Solution

The fourth proportional to 208,032.30, 312,048.45 and 67,805.10 is: 101,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.30 : 312,048.45 = 67,805.10 : x
  2. Step 2: Convert to fraction form
    208,032.30/312,048.45 = 67,805.10/x
  3. Step 3: Cross multiply
    208,032.30x = 312,048.45 × 67,805.10
  4. Step 4: Simplify right side
    208,032.30x = 21,158,476,357.10
  5. Step 5: Solve for x
    x = 21,158,476,357.10/208,032.30
  6. Step 6: Final answer
    x = 101,707.65

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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.