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Finding the Fourth Proportional to 208,798.90, 288,143.29 and 113,305.62

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Solution

The fourth proportional to 208,798.90, 288,143.29 and 113,305.62 is: 156,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.90 : 288,143.29 = 113,305.62 : x
  2. Step 2: Convert to fraction form
    208,798.90/288,143.29 = 113,305.62/x
  3. Step 3: Cross multiply
    208,798.90x = 288,143.29 × 113,305.62
  4. Step 4: Simplify right side
    208,798.90x = 32,648,254,122.29
  5. Step 5: Solve for x
    x = 32,648,254,122.29/208,798.90
  6. Step 6: Final answer
    x = 156,362.19

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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.