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Finding the Fourth Proportional to 77,538, 107,002.44 and 42,210

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Solution

The fourth proportional to 77,538, 107,002.44 and 42,210 is: 58,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,538 : 107,002.44 = 42,210 : x
  2. Step 2: Convert to fraction form
    77,538/107,002.44 = 42,210/x
  3. Step 3: Cross multiply
    77,538x = 107,002.44 × 42,210
  4. Step 4: Simplify right side
    77,538x = 4,516,572,992.40
  5. Step 5: Solve for x
    x = 4,516,572,992.40/77,538
  6. Step 6: Final answer
    x = 58,249.80

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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.