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Finding the Fourth Proportional to 56,409.51, 77,800.28 and 47,939.67

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Solution

The fourth proportional to 56,409.51, 77,800.28 and 47,939.67 is: 66,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.51 : 77,800.28 = 47,939.67 : x
  2. Step 2: Convert to fraction form
    56,409.51/77,800.28 = 47,939.67/x
  3. Step 3: Cross multiply
    56,409.51x = 77,800.28 × 47,939.67
  4. Step 4: Simplify right side
    56,409.51x = 3,729,719,868.96
  5. Step 5: Solve for x
    x = 3,729,719,868.96/56,409.51
  6. Step 6: Final answer
    x = 66,118.64

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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.