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Finding the Fourth Proportional to 78,509.81, 108,363.39 and 44,538.55

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Solution

The fourth proportional to 78,509.81, 108,363.39 and 44,538.55 is: 61,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.81 : 108,363.39 = 44,538.55 : x
  2. Step 2: Convert to fraction form
    78,509.81/108,363.39 = 44,538.55/x
  3. Step 3: Cross multiply
    78,509.81x = 108,363.39 × 44,538.55
  4. Step 4: Simplify right side
    78,509.81x = 4,826,347,721.87
  5. Step 5: Solve for x
    x = 4,826,347,721.87/78,509.81
  6. Step 6: Final answer
    x = 61,474.45

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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.