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Finding the Fourth Proportional to 77,590, 107,074.20 and 42,262

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Solution

The fourth proportional to 77,590, 107,074.20 and 42,262 is: 58,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,590 : 107,074.20 = 42,262 : x
  2. Step 2: Convert to fraction form
    77,590/107,074.20 = 42,262/x
  3. Step 3: Cross multiply
    77,590x = 107,074.20 × 42,262
  4. Step 4: Simplify right side
    77,590x = 4,525,169,840.40
  5. Step 5: Solve for x
    x = 4,525,169,840.40/77,590
  6. Step 6: Final answer
    x = 58,321.56

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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.