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Finding the Fourth Proportional to 76,287, 105,276.12 and 46,479

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Solution

The fourth proportional to 76,287, 105,276.12 and 46,479 is: 64,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287 : 105,276.12 = 46,479 : x
  2. Step 2: Convert to fraction form
    76,287/105,276.12 = 46,479/x
  3. Step 3: Cross multiply
    76,287x = 105,276.12 × 46,479
  4. Step 4: Simplify right side
    76,287x = 4,893,128,781.48
  5. Step 5: Solve for x
    x = 4,893,128,781.48/76,287
  6. Step 6: Final answer
    x = 64,141.06

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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.