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Finding the Fourth Proportional to 53,712.52, 74,125.74 and 29,838.40

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Solution

The fourth proportional to 53,712.52, 74,125.74 and 29,838.40 is: 41,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.52 : 74,125.74 = 29,838.40 : x
  2. Step 2: Convert to fraction form
    53,712.52/74,125.74 = 29,838.40/x
  3. Step 3: Cross multiply
    53,712.52x = 74,125.74 × 29,838.40
  4. Step 4: Simplify right side
    53,712.52x = 2,211,793,480.42
  5. Step 5: Solve for x
    x = 2,211,793,480.42/53,712.52
  6. Step 6: Final answer
    x = 41,178.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.