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Finding the Fourth Proportional to 78,326.32, 117,606.12 and 31,670.32

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Solution

The fourth proportional to 78,326.32, 117,606.12 and 31,670.32 is: 47,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326.32 : 117,606.12 = 31,670.32 : x
  2. Step 2: Convert to fraction form
    78,326.32/117,606.12 = 31,670.32/x
  3. Step 3: Cross multiply
    78,326.32x = 117,606.12 × 31,670.32
  4. Step 4: Simplify right side
    78,326.32x = 3,724,623,454.36
  5. Step 5: Solve for x
    x = 3,724,623,454.36/78,326.32
  6. Step 6: Final answer
    x = 47,552.64

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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.