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Finding the Fourth Proportional to 258,937.52, 388,378.02 and 69,416.48

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Solution

The fourth proportional to 258,937.52, 388,378.02 and 69,416.48 is: 104,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,937.52 : 388,378.02 = 69,416.48 : x
  2. Step 2: Convert to fraction form
    258,937.52/388,378.02 = 69,416.48/x
  3. Step 3: Cross multiply
    258,937.52x = 388,378.02 × 69,416.48
  4. Step 4: Simplify right side
    258,937.52x = 26,959,835,057.77
  5. Step 5: Solve for x
    x = 26,959,835,057.77/258,937.52
  6. Step 6: Final answer
    x = 104,117.14

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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.