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Finding the Fourth Proportional to 76,020, 104,910.84 and 42,486

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Solution

The fourth proportional to 76,020, 104,910.84 and 42,486 is: 58,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,020 : 104,910.84 = 42,486 : x
  2. Step 2: Convert to fraction form
    76,020/104,910.84 = 42,486/x
  3. Step 3: Cross multiply
    76,020x = 104,910.84 × 42,486
  4. Step 4: Simplify right side
    76,020x = 4,457,241,948.24
  5. Step 5: Solve for x
    x = 4,457,241,948.24/76,020
  6. Step 6: Final answer
    x = 58,632.49

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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.