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Finding the Fourth Proportional to 78,189.63, 107,899.05 and 46,339.62

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Solution

The fourth proportional to 78,189.63, 107,899.05 and 46,339.62 is: 63,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.63 : 107,899.05 = 46,339.62 : x
  2. Step 2: Convert to fraction form
    78,189.63/107,899.05 = 46,339.62/x
  3. Step 3: Cross multiply
    78,189.63x = 107,899.05 × 46,339.62
  4. Step 4: Simplify right side
    78,189.63x = 5,000,000,975.36
  5. Step 5: Solve for x
    x = 5,000,000,975.36/78,189.63
  6. Step 6: Final answer
    x = 63,947.11

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1.5x scale

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.