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Finding the Fourth Proportional to 78,612.40, 117,825.72 and 77,735.44

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Solution

The fourth proportional to 78,612.40, 117,825.72 and 77,735.44 is: 116,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,612.40 : 117,825.72 = 77,735.44 : x
  2. Step 2: Convert to fraction form
    78,612.40/117,825.72 = 77,735.44/x
  3. Step 3: Cross multiply
    78,612.40x = 117,825.72 × 77,735.44
  4. Step 4: Simplify right side
    78,612.40x = 9,159,234,187.52
  5. Step 5: Solve for x
    x = 9,159,234,187.52/78,612.40
  6. Step 6: Final answer
    x = 116,511.32

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1.5x scale

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.