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Finding the Fourth Proportional to 78,314.94, 117,405.99 and 25,710.30

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Solution

The fourth proportional to 78,314.94, 117,405.99 and 25,710.30 is: 38,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.94 : 117,405.99 = 25,710.30 : x
  2. Step 2: Convert to fraction form
    78,314.94/117,405.99 = 25,710.30/x
  3. Step 3: Cross multiply
    78,314.94x = 117,405.99 × 25,710.30
  4. Step 4: Simplify right side
    78,314.94x = 3,018,543,224.70
  5. Step 5: Solve for x
    x = 3,018,543,224.70/78,314.94
  6. Step 6: Final answer
    x = 38,543.64

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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.