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Finding the Fourth Proportional to 76,103.40, 105,010.43 and 47,789.04

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Solution

The fourth proportional to 76,103.40, 105,010.43 and 47,789.04 is: 65,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103.40 : 105,010.43 = 47,789.04 : x
  2. Step 2: Convert to fraction form
    76,103.40/105,010.43 = 47,789.04/x
  3. Step 3: Cross multiply
    76,103.40x = 105,010.43 × 47,789.04
  4. Step 4: Simplify right side
    76,103.40x = 5,018,347,400.74
  5. Step 5: Solve for x
    x = 5,018,347,400.74/76,103.40
  6. Step 6: Final answer
    x = 65,941.17

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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.