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Finding the Fourth Proportional to 72,356.81, 99,774.41 and 49,389.22

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Solution

The fourth proportional to 72,356.81, 99,774.41 and 49,389.22 is: 68,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,356.81 : 99,774.41 = 49,389.22 : x
  2. Step 2: Convert to fraction form
    72,356.81/99,774.41 = 49,389.22/x
  3. Step 3: Cross multiply
    72,356.81x = 99,774.41 × 49,389.22
  4. Step 4: Simplify right side
    72,356.81x = 4,927,779,789.48
  5. Step 5: Solve for x
    x = 4,927,779,789.48/72,356.81
  6. Step 6: Final answer
    x = 68,103.89

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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.