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Finding the Fourth Proportional to 78,758.48, 118,137.72 and 23,354

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Solution

The fourth proportional to 78,758.48, 118,137.72 and 23,354 is: 35,031

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,758.48 : 118,137.72 = 23,354 : x
  2. Step 2: Convert to fraction form
    78,758.48/118,137.72 = 23,354/x
  3. Step 3: Cross multiply
    78,758.48x = 118,137.72 × 23,354
  4. Step 4: Simplify right side
    78,758.48x = 2,758,988,312.88
  5. Step 5: Solve for x
    x = 2,758,988,312.88/78,758.48
  6. Step 6: Final answer
    x = 35,031

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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.