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Finding the Fourth Proportional to 78,157.36, 107,857.47 and 42,347.26

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Solution

The fourth proportional to 78,157.36, 107,857.47 and 42,347.26 is: 58,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.36 : 107,857.47 = 42,347.26 : x
  2. Step 2: Convert to fraction form
    78,157.36/107,857.47 = 42,347.26/x
  3. Step 3: Cross multiply
    78,157.36x = 107,857.47 × 42,347.26
  4. Step 4: Simplify right side
    78,157.36x = 4,567,468,325.03
  5. Step 5: Solve for x
    x = 4,567,468,325.03/78,157.36
  6. Step 6: Final answer
    x = 58,439.39

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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.