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Finding the Fourth Proportional to 78,285.90, 117,384.84 and 25,690.98

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Solution

The fourth proportional to 78,285.90, 117,384.84 and 25,690.98 is: 38,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.90 : 117,384.84 = 25,690.98 : x
  2. Step 2: Convert to fraction form
    78,285.90/117,384.84 = 25,690.98/x
  3. Step 3: Cross multiply
    78,285.90x = 117,384.84 × 25,690.98
  4. Step 4: Simplify right side
    78,285.90x = 3,015,731,576.74
  5. Step 5: Solve for x
    x = 3,015,731,576.74/78,285.90
  6. Step 6: Final answer
    x = 38,522.03

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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.