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Finding the Fourth Proportional to 78,483.60, 117,725.40 and 31,712.40

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Solution

The fourth proportional to 78,483.60, 117,725.40 and 31,712.40 is: 47,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483.60 : 117,725.40 = 31,712.40 : x
  2. Step 2: Convert to fraction form
    78,483.60/117,725.40 = 31,712.40/x
  3. Step 3: Cross multiply
    78,483.60x = 117,725.40 × 31,712.40
  4. Step 4: Simplify right side
    78,483.60x = 3,733,354,974.96
  5. Step 5: Solve for x
    x = 3,733,354,974.96/78,483.60
  6. Step 6: Final answer
    x = 47,568.60

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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.