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Finding the Fourth Proportional to 78,012.57, 107,657.25 and 42,202.50

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Solution

The fourth proportional to 78,012.57, 107,657.25 and 42,202.50 is: 58,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.57 : 107,657.25 = 42,202.50 : x
  2. Step 2: Convert to fraction form
    78,012.57/107,657.25 = 42,202.50/x
  3. Step 3: Cross multiply
    78,012.57x = 107,657.25 × 42,202.50
  4. Step 4: Simplify right side
    78,012.57x = 4,543,405,093.13
  5. Step 5: Solve for x
    x = 4,543,405,093.13/78,012.57
  6. Step 6: Final answer
    x = 58,239.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.