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Finding the Fourth Proportional to 78,127.48, 107,797.26 and 46,290.88

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Solution

The fourth proportional to 78,127.48, 107,797.26 and 46,290.88 is: 63,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.48 : 107,797.26 = 46,290.88 : x
  2. Step 2: Convert to fraction form
    78,127.48/107,797.26 = 46,290.88/x
  3. Step 3: Cross multiply
    78,127.48x = 107,797.26 × 46,290.88
  4. Step 4: Simplify right side
    78,127.48x = 4,990,030,026.99
  5. Step 5: Solve for x
    x = 4,990,030,026.99/78,127.48
  6. Step 6: Final answer
    x = 63,870.36

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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.