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Finding the Fourth Proportional to 78,145.48, 107,838.52 and 45,879.56

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Solution

The fourth proportional to 78,145.48, 107,838.52 and 45,879.56 is: 63,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.48 : 107,838.52 = 45,879.56 : x
  2. Step 2: Convert to fraction form
    78,145.48/107,838.52 = 45,879.56/x
  3. Step 3: Cross multiply
    78,145.48x = 107,838.52 × 45,879.56
  4. Step 4: Simplify right side
    78,145.48x = 4,947,583,848.65
  5. Step 5: Solve for x
    x = 4,947,583,848.65/78,145.48
  6. Step 6: Final answer
    x = 63,312.48

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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.