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Finding the Fourth Proportional to 78,419.80, 117,629.70 and 77,982.40

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Solution

The fourth proportional to 78,419.80, 117,629.70 and 77,982.40 is: 116,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.80 : 117,629.70 = 77,982.40 : x
  2. Step 2: Convert to fraction form
    78,419.80/117,629.70 = 77,982.40/x
  3. Step 3: Cross multiply
    78,419.80x = 117,629.70 × 77,982.40
  4. Step 4: Simplify right side
    78,419.80x = 9,173,046,317.28
  5. Step 5: Solve for x
    x = 9,173,046,317.28/78,419.80
  6. Step 6: Final answer
    x = 116,973.60

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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.