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Finding the Fourth Proportional to 78,188.88, 107,898.03 and 46,338.87

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Solution

The fourth proportional to 78,188.88, 107,898.03 and 46,338.87 is: 63,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.88 : 107,898.03 = 46,338.87 : x
  2. Step 2: Convert to fraction form
    78,188.88/107,898.03 = 46,338.87/x
  3. Step 3: Cross multiply
    78,188.88x = 107,898.03 × 46,338.87
  4. Step 4: Simplify right side
    78,188.88x = 4,999,872,785.43
  5. Step 5: Solve for x
    x = 4,999,872,785.43/78,188.88
  6. Step 6: Final answer
    x = 63,946.09

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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.