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Finding the Fourth Proportional to 53,659.04, 74,046 and 29,785.72

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Solution

The fourth proportional to 53,659.04, 74,046 and 29,785.72 is: 41,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,659.04 : 74,046 = 29,785.72 : x
  2. Step 2: Convert to fraction form
    53,659.04/74,046 = 29,785.72/x
  3. Step 3: Cross multiply
    53,659.04x = 74,046 × 29,785.72
  4. Step 4: Simplify right side
    53,659.04x = 2,205,513,423.12
  5. Step 5: Solve for x
    x = 2,205,513,423.12/53,659.04
  6. Step 6: Final answer
    x = 41,102.36

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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.