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Finding the Fourth Proportional to 78,395.84, 108,173.44 and 46,157.63

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Solution

The fourth proportional to 78,395.84, 108,173.44 and 46,157.63 is: 63,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,395.84 : 108,173.44 = 46,157.63 : x
  2. Step 2: Convert to fraction form
    78,395.84/108,173.44 = 46,157.63/x
  3. Step 3: Cross multiply
    78,395.84x = 108,173.44 × 46,157.63
  4. Step 4: Simplify right side
    78,395.84x = 4,993,029,233.52
  5. Step 5: Solve for x
    x = 4,993,029,233.52/78,395.84
  6. Step 6: Final answer
    x = 63,689.97

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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.