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Finding the Fourth Proportional to 78,289.50, 108,038.87 and 44,297.70

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Solution

The fourth proportional to 78,289.50, 108,038.87 and 44,297.70 is: 61,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289.50 : 108,038.87 = 44,297.70 : x
  2. Step 2: Convert to fraction form
    78,289.50/108,038.87 = 44,297.70/x
  3. Step 3: Cross multiply
    78,289.50x = 108,038.87 × 44,297.70
  4. Step 4: Simplify right side
    78,289.50x = 4,785,873,230.11
  5. Step 5: Solve for x
    x = 4,785,873,230.11/78,289.50
  6. Step 6: Final answer
    x = 61,130.46

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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.