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Finding the Fourth Proportional to 278,104.32, 417,152.16 and 111,888

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Solution

The fourth proportional to 278,104.32, 417,152.16 and 111,888 is: 167,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.32 : 417,152.16 = 111,888 : x
  2. Step 2: Convert to fraction form
    278,104.32/417,152.16 = 111,888/x
  3. Step 3: Cross multiply
    278,104.32x = 417,152.16 × 111,888
  4. Step 4: Simplify right side
    278,104.32x = 46,674,320,878.08
  5. Step 5: Solve for x
    x = 46,674,320,878.08/278,104.32
  6. Step 6: Final answer
    x = 167,830.26

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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.