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Finding the Fourth Proportional to 56,128.40, 77,462.64 and 41,956.64

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Solution

The fourth proportional to 56,128.40, 77,462.64 and 41,956.64 is: 57,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,128.40 : 77,462.64 = 41,956.64 : x
  2. Step 2: Convert to fraction form
    56,128.40/77,462.64 = 41,956.64/x
  3. Step 3: Cross multiply
    56,128.40x = 77,462.64 × 41,956.64
  4. Step 4: Simplify right side
    56,128.40x = 3,250,072,099.93
  5. Step 5: Solve for x
    x = 3,250,072,099.93/56,128.40
  6. Step 6: Final answer
    x = 57,904.24

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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.