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Finding the Fourth Proportional to 76,817.63, 106,008.77 and 42,828.26

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Solution

The fourth proportional to 76,817.63, 106,008.77 and 42,828.26 is: 59,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.63 : 106,008.77 = 42,828.26 : x
  2. Step 2: Convert to fraction form
    76,817.63/106,008.77 = 42,828.26/x
  3. Step 3: Cross multiply
    76,817.63x = 106,008.77 × 42,828.26
  4. Step 4: Simplify right side
    76,817.63x = 4,540,170,419.66
  5. Step 5: Solve for x
    x = 4,540,170,419.66/76,817.63
  6. Step 6: Final answer
    x = 59,103.24

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1.5x scale

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.