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Finding the Fourth Proportional to 56,908.60, 78,537.50 and 31,758.10

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Solution

The fourth proportional to 56,908.60, 78,537.50 and 31,758.10 is: 43,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,908.60 : 78,537.50 = 31,758.10 : x
  2. Step 2: Convert to fraction form
    56,908.60/78,537.50 = 31,758.10/x
  3. Step 3: Cross multiply
    56,908.60x = 78,537.50 × 31,758.10
  4. Step 4: Simplify right side
    56,908.60x = 2,494,201,542.71
  5. Step 5: Solve for x
    x = 2,494,201,542.71/56,908.60
  6. Step 6: Final answer
    x = 43,828.20

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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.