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Finding the Fourth Proportional to 86,478, 119,339.80 and 46,734

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Solution

The fourth proportional to 86,478, 119,339.80 and 46,734 is: 64,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478 : 119,339.80 = 46,734 : x
  2. Step 2: Convert to fraction form
    86,478/119,339.80 = 46,734/x
  3. Step 3: Cross multiply
    86,478x = 119,339.80 × 46,734
  4. Step 4: Simplify right side
    86,478x = 5,577,226,213.20
  5. Step 5: Solve for x
    x = 5,577,226,213.20/86,478
  6. Step 6: Final answer
    x = 64,493.01

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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.