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Finding the Fourth Proportional to 78,594.56, 117,869.88 and 31,188.32

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Solution

The fourth proportional to 78,594.56, 117,869.88 and 31,188.32 is: 46,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,594.56 : 117,869.88 = 31,188.32 : x
  2. Step 2: Convert to fraction form
    78,594.56/117,869.88 = 31,188.32/x
  3. Step 3: Cross multiply
    78,594.56x = 117,869.88 × 31,188.32
  4. Step 4: Simplify right side
    78,594.56x = 3,676,163,535.80
  5. Step 5: Solve for x
    x = 3,676,163,535.80/78,594.56
  6. Step 6: Final answer
    x = 46,773.77

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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.