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Finding the Fourth Proportional to 76,122, 105,048.36 and 42,588

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Solution

The fourth proportional to 76,122, 105,048.36 and 42,588 is: 58,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 105,048.36 = 42,588 : x
  2. Step 2: Convert to fraction form
    76,122/105,048.36 = 42,588/x
  3. Step 3: Cross multiply
    76,122x = 105,048.36 × 42,588
  4. Step 4: Simplify right side
    76,122x = 4,473,799,555.68
  5. Step 5: Solve for x
    x = 4,473,799,555.68/76,122
  6. Step 6: Final answer
    x = 58,771.44

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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.