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Finding the Fourth Proportional to 50,828.64, 70,141.64 and 29,319.28

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Solution

The fourth proportional to 50,828.64, 70,141.64 and 29,319.28 is: 40,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,828.64 : 70,141.64 = 29,319.28 : x
  2. Step 2: Convert to fraction form
    50,828.64/70,141.64 = 29,319.28/x
  3. Step 3: Cross multiply
    50,828.64x = 70,141.64 × 29,319.28
  4. Step 4: Simplify right side
    50,828.64x = 2,056,502,382.82
  5. Step 5: Solve for x
    x = 2,056,502,382.82/50,828.64
  6. Step 6: Final answer
    x = 40,459.52

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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.