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Finding the Fourth Proportional to 287,752.96, 431,568.96 and 77,392.72

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Solution

The fourth proportional to 287,752.96, 431,568.96 and 77,392.72 is: 116,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,752.96 : 431,568.96 = 77,392.72 : x
  2. Step 2: Convert to fraction form
    287,752.96/431,568.96 = 77,392.72/x
  3. Step 3: Cross multiply
    287,752.96x = 431,568.96 × 77,392.72
  4. Step 4: Simplify right side
    287,752.96x = 33,400,295,681.97
  5. Step 5: Solve for x
    x = 33,400,295,681.97/287,752.96
  6. Step 6: Final answer
    x = 116,072.81

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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.