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Finding the Fourth Proportional to 154,242, 212,854.32 and 87,174

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Solution

The fourth proportional to 154,242, 212,854.32 and 87,174 is: 120,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,242 : 212,854.32 = 87,174 : x
  2. Step 2: Convert to fraction form
    154,242/212,854.32 = 87,174/x
  3. Step 3: Cross multiply
    154,242x = 212,854.32 × 87,174
  4. Step 4: Simplify right side
    154,242x = 18,555,362,491.68
  5. Step 5: Solve for x
    x = 18,555,362,491.68/154,242
  6. Step 6: Final answer
    x = 120,300.32

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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.