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Finding the Fourth Proportional to 287,632.64, 431,582.72 and 110,081.12

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Solution

The fourth proportional to 287,632.64, 431,582.72 and 110,081.12 is: 165,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,632.64 : 431,582.72 = 110,081.12 : x
  2. Step 2: Convert to fraction form
    287,632.64/431,582.72 = 110,081.12/x
  3. Step 3: Cross multiply
    287,632.64x = 431,582.72 × 110,081.12
  4. Step 4: Simplify right side
    287,632.64x = 47,509,109,190.25
  5. Step 5: Solve for x
    x = 47,509,109,190.25/287,632.64
  6. Step 6: Final answer
    x = 165,172.87

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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.