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Finding the Fourth Proportional to 78,012.65, 107,657.13 and 42,202.57

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Solution

The fourth proportional to 78,012.65, 107,657.13 and 42,202.57 is: 58,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.65 : 107,657.13 = 42,202.57 : x
  2. Step 2: Convert to fraction form
    78,012.65/107,657.13 = 42,202.57/x
  3. Step 3: Cross multiply
    78,012.65x = 107,657.13 × 42,202.57
  4. Step 4: Simplify right side
    78,012.65x = 4,543,407,564.82
  5. Step 5: Solve for x
    x = 4,543,407,564.82/78,012.65
  6. Step 6: Final answer
    x = 58,239.37

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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.