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Finding the Fourth Proportional to 77,379, 106,783.02 and 42,051

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Solution

The fourth proportional to 77,379, 106,783.02 and 42,051 is: 58,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,379 : 106,783.02 = 42,051 : x
  2. Step 2: Convert to fraction form
    77,379/106,783.02 = 42,051/x
  3. Step 3: Cross multiply
    77,379x = 106,783.02 × 42,051
  4. Step 4: Simplify right side
    77,379x = 4,490,332,774.02
  5. Step 5: Solve for x
    x = 4,490,332,774.02/77,379
  6. Step 6: Final answer
    x = 58,030.38

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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.