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Finding the Fourth Proportional to 208,416.65, 287,613.99 and 112,923.32

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Solution

The fourth proportional to 208,416.65, 287,613.99 and 112,923.32 is: 155,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416.65 : 287,613.99 = 112,923.32 : x
  2. Step 2: Convert to fraction form
    208,416.65/287,613.99 = 112,923.32/x
  3. Step 3: Cross multiply
    208,416.65x = 287,613.99 × 112,923.32
  4. Step 4: Simplify right side
    208,416.65x = 32,478,325,191.18
  5. Step 5: Solve for x
    x = 32,478,325,191.18/208,416.65
  6. Step 6: Final answer
    x = 155,833.64

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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.