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Finding the Fourth Proportional to 78,280.64, 117,419.60 and 31,532.32

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Solution

The fourth proportional to 78,280.64, 117,419.60 and 31,532.32 is: 47,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,280.64 : 117,419.60 = 31,532.32 : x
  2. Step 2: Convert to fraction form
    78,280.64/117,419.60 = 31,532.32/x
  3. Step 3: Cross multiply
    78,280.64x = 117,419.60 × 31,532.32
  4. Step 4: Simplify right side
    78,280.64x = 3,702,512,401.47
  5. Step 5: Solve for x
    x = 3,702,512,401.47/78,280.64
  6. Step 6: Final answer
    x = 47,297.93

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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.