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Finding the Fourth Proportional to 76,289, 105,278.88 and 46,481

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Solution

The fourth proportional to 76,289, 105,278.88 and 46,481 is: 64,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,289 : 105,278.88 = 46,481 : x
  2. Step 2: Convert to fraction form
    76,289/105,278.88 = 46,481/x
  3. Step 3: Cross multiply
    76,289x = 105,278.88 × 46,481
  4. Step 4: Simplify right side
    76,289x = 4,893,467,621.28
  5. Step 5: Solve for x
    x = 4,893,467,621.28/76,289
  6. Step 6: Final answer
    x = 64,143.82

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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.