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Finding the Fourth Proportional to 71,830.94, 107,709.51 and 38,578.98

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Solution

The fourth proportional to 71,830.94, 107,709.51 and 38,578.98 is: 57,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.94 : 107,709.51 = 38,578.98 : x
  2. Step 2: Convert to fraction form
    71,830.94/107,709.51 = 38,578.98/x
  3. Step 3: Cross multiply
    71,830.94x = 107,709.51 × 38,578.98
  4. Step 4: Simplify right side
    71,830.94x = 4,155,323,580.68
  5. Step 5: Solve for x
    x = 4,155,323,580.68/71,830.94
  6. Step 6: Final answer
    x = 57,848.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.