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Finding the Fourth Proportional to 94,378.40, 141,778.80 and 78,826.40

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Solution

The fourth proportional to 94,378.40, 141,778.80 and 78,826.40 is: 118,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,378.40 : 141,778.80 = 78,826.40 : x
  2. Step 2: Convert to fraction form
    94,378.40/141,778.80 = 78,826.40/x
  3. Step 3: Cross multiply
    94,378.40x = 141,778.80 × 78,826.40
  4. Step 4: Simplify right side
    94,378.40x = 11,175,912,400.32
  5. Step 5: Solve for x
    x = 11,175,912,400.32/94,378.40
  6. Step 6: Final answer
    x = 118,416.00

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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.