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Finding the Fourth Proportional to 78,539.52, 117,847.08 and 39,100.08

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Solution

The fourth proportional to 78,539.52, 117,847.08 and 39,100.08 is: 58,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.52 : 117,847.08 = 39,100.08 : x
  2. Step 2: Convert to fraction form
    78,539.52/117,847.08 = 39,100.08/x
  3. Step 3: Cross multiply
    78,539.52x = 117,847.08 × 39,100.08
  4. Step 4: Simplify right side
    78,539.52x = 4,607,830,255.77
  5. Step 5: Solve for x
    x = 4,607,830,255.77/78,539.52
  6. Step 6: Final answer
    x = 58,668.94

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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.