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Finding the Fourth Proportional to 76,100, 105,018.36 and 42,566

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Solution

The fourth proportional to 76,100, 105,018.36 and 42,566 is: 58,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,100 : 105,018.36 = 42,566 : x
  2. Step 2: Convert to fraction form
    76,100/105,018.36 = 42,566/x
  3. Step 3: Cross multiply
    76,100x = 105,018.36 × 42,566
  4. Step 4: Simplify right side
    76,100x = 4,470,211,511.76
  5. Step 5: Solve for x
    x = 4,470,211,511.76/76,100
  6. Step 6: Final answer
    x = 58,741.28

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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.