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Finding the Fourth Proportional to 78,016, 107,663.70 and 46,173.28

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Solution

The fourth proportional to 78,016, 107,663.70 and 46,173.28 is: 63,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016 : 107,663.70 = 46,173.28 : x
  2. Step 2: Convert to fraction form
    78,016/107,663.70 = 46,173.28/x
  3. Step 3: Cross multiply
    78,016x = 107,663.70 × 46,173.28
  4. Step 4: Simplify right side
    78,016x = 4,971,186,165.94
  5. Step 5: Solve for x
    x = 4,971,186,165.94/78,016
  6. Step 6: Final answer
    x = 63,720.09

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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.