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Finding the Fourth Proportional to 208,911.74, 288,293.73 and 113,417.60

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Solution

The fourth proportional to 208,911.74, 288,293.73 and 113,417.60 is: 156,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.74 : 288,293.73 = 113,417.60 : x
  2. Step 2: Convert to fraction form
    208,911.74/288,293.73 = 113,417.60/x
  3. Step 3: Cross multiply
    208,911.74x = 288,293.73 × 113,417.60
  4. Step 4: Simplify right side
    208,911.74x = 32,697,582,951.65
  5. Step 5: Solve for x
    x = 32,697,582,951.65/208,911.74
  6. Step 6: Final answer
    x = 156,513.86

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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.