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Finding the Fourth Proportional to 86,738.91, 130,019.73 and 49,219.74

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Solution

The fourth proportional to 86,738.91, 130,019.73 and 49,219.74 is: 73,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,738.91 : 130,019.73 = 49,219.74 : x
  2. Step 2: Convert to fraction form
    86,738.91/130,019.73 = 49,219.74/x
  3. Step 3: Cross multiply
    86,738.91x = 130,019.73 × 49,219.74
  4. Step 4: Simplify right side
    86,738.91x = 6,399,537,305.47
  5. Step 5: Solve for x
    x = 6,399,537,305.47/86,738.91
  6. Step 6: Final answer
    x = 73,779.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.