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Finding the Fourth Proportional to 78,195.88, 107,907.68 and 46,345.88

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Solution

The fourth proportional to 78,195.88, 107,907.68 and 46,345.88 is: 63,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.88 : 107,907.68 = 46,345.88 : x
  2. Step 2: Convert to fraction form
    78,195.88/107,907.68 = 46,345.88/x
  3. Step 3: Cross multiply
    78,195.88x = 107,907.68 × 46,345.88
  4. Step 4: Simplify right side
    78,195.88x = 5,001,076,388.36
  5. Step 5: Solve for x
    x = 5,001,076,388.36/78,195.88
  6. Step 6: Final answer
    x = 63,955.75

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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.