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Finding the Fourth Proportional to 69,319.16, 103,985.10 and 19,399.16

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Solution

The fourth proportional to 69,319.16, 103,985.10 and 19,399.16 is: 29,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.16 : 103,985.10 = 19,399.16 : x
  2. Step 2: Convert to fraction form
    69,319.16/103,985.10 = 19,399.16/x
  3. Step 3: Cross multiply
    69,319.16x = 103,985.10 × 19,399.16
  4. Step 4: Simplify right side
    69,319.16x = 2,017,223,592.52
  5. Step 5: Solve for x
    x = 2,017,223,592.52/69,319.16
  6. Step 6: Final answer
    x = 29,100.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.