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Finding the Fourth Proportional to 52,490.81, 78,736.16 and 13,047.93

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Solution

The fourth proportional to 52,490.81, 78,736.16 and 13,047.93 is: 19,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.81 : 78,736.16 = 13,047.93 : x
  2. Step 2: Convert to fraction form
    52,490.81/78,736.16 = 13,047.93/x
  3. Step 3: Cross multiply
    52,490.81x = 78,736.16 × 13,047.93
  4. Step 4: Simplify right side
    52,490.81x = 1,027,343,838.91
  5. Step 5: Solve for x
    x = 1,027,343,838.91/52,490.81
  6. Step 6: Final answer
    x = 19,571.88

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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.