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Finding the Fourth Proportional to 52,849, 72,931.62 and 30,493

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Solution

The fourth proportional to 52,849, 72,931.62 and 30,493 is: 42,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849 : 72,931.62 = 30,493 : x
  2. Step 2: Convert to fraction form
    52,849/72,931.62 = 30,493/x
  3. Step 3: Cross multiply
    52,849x = 72,931.62 × 30,493
  4. Step 4: Simplify right side
    52,849x = 2,223,903,888.66
  5. Step 5: Solve for x
    x = 2,223,903,888.66/52,849
  6. Step 6: Final answer
    x = 42,080.34

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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.