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Finding the Fourth Proportional to 78,327.64, 117,460.86 and 28,392.76

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Solution

The fourth proportional to 78,327.64, 117,460.86 and 28,392.76 is: 42,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327.64 : 117,460.86 = 28,392.76 : x
  2. Step 2: Convert to fraction form
    78,327.64/117,460.86 = 28,392.76/x
  3. Step 3: Cross multiply
    78,327.64x = 117,460.86 × 28,392.76
  4. Step 4: Simplify right side
    78,327.64x = 3,335,038,007.37
  5. Step 5: Solve for x
    x = 3,335,038,007.37/78,327.64
  6. Step 6: Final answer
    x = 42,578.05

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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.