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Finding the Fourth Proportional to 53,894, 74,373.72 and 31,538

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Solution

The fourth proportional to 53,894, 74,373.72 and 31,538 is: 43,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894 : 74,373.72 = 31,538 : x
  2. Step 2: Convert to fraction form
    53,894/74,373.72 = 31,538/x
  3. Step 3: Cross multiply
    53,894x = 74,373.72 × 31,538
  4. Step 4: Simplify right side
    53,894x = 2,345,598,381.36
  5. Step 5: Solve for x
    x = 2,345,598,381.36/53,894
  6. Step 6: Final answer
    x = 43,522.44

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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.