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Finding the Fourth Proportional to 78,189.88, 107,899.36 and 46,339.92

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Solution

The fourth proportional to 78,189.88, 107,899.36 and 46,339.92 is: 63,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.88 : 107,899.36 = 46,339.92 : x
  2. Step 2: Convert to fraction form
    78,189.88/107,899.36 = 46,339.92/x
  3. Step 3: Cross multiply
    78,189.88x = 107,899.36 × 46,339.92
  4. Step 4: Simplify right side
    78,189.88x = 5,000,047,710.45
  5. Step 5: Solve for x
    x = 5,000,047,710.45/78,189.88
  6. Step 6: Final answer
    x = 63,947.50

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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.