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Finding the Fourth Proportional to 78,806.48, 118,142.48 and 34,400

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Solution

The fourth proportional to 78,806.48, 118,142.48 and 34,400 is: 51,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.48 : 118,142.48 = 34,400 : x
  2. Step 2: Convert to fraction form
    78,806.48/118,142.48 = 34,400/x
  3. Step 3: Cross multiply
    78,806.48x = 118,142.48 × 34,400
  4. Step 4: Simplify right side
    78,806.48x = 4,064,101,312
  5. Step 5: Solve for x
    x = 4,064,101,312/78,806.48
  6. Step 6: Final answer
    x = 51,570.65

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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.