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Finding the Fourth Proportional to 76,100.18, 105,060.47 and 45,893.12

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Solution

The fourth proportional to 76,100.18, 105,060.47 and 45,893.12 is: 63,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,100.18 : 105,060.47 = 45,893.12 : x
  2. Step 2: Convert to fraction form
    76,100.18/105,060.47 = 45,893.12/x
  3. Step 3: Cross multiply
    76,100.18x = 105,060.47 × 45,893.12
  4. Step 4: Simplify right side
    76,100.18x = 4,821,552,002.20
  5. Step 5: Solve for x
    x = 4,821,552,002.20/76,100.18
  6. Step 6: Final answer
    x = 63,357.96

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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.