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Finding the Fourth Proportional to 69,849, 96,391.80 and 38,018.16

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Solution

The fourth proportional to 69,849, 96,391.80 and 38,018.16 is: 52,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,849 : 96,391.80 = 38,018.16 : x
  2. Step 2: Convert to fraction form
    69,849/96,391.80 = 38,018.16/x
  3. Step 3: Cross multiply
    69,849x = 96,391.80 × 38,018.16
  4. Step 4: Simplify right side
    69,849x = 3,664,638,875.09
  5. Step 5: Solve for x
    x = 3,664,638,875.09/69,849
  6. Step 6: Final answer
    x = 52,465.16

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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.