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Finding the Fourth Proportional to 157,868, 236,918.88 and 74,762.24

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Solution

The fourth proportional to 157,868, 236,918.88 and 74,762.24 is: 112,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,868 : 236,918.88 = 74,762.24 : x
  2. Step 2: Convert to fraction form
    157,868/236,918.88 = 74,762.24/x
  3. Step 3: Cross multiply
    157,868x = 236,918.88 × 74,762.24
  4. Step 4: Simplify right side
    157,868x = 17,712,586,167.09
  5. Step 5: Solve for x
    x = 17,712,586,167.09/157,868
  6. Step 6: Final answer
    x = 112,198.71

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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.