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Finding the Fourth Proportional to 257,924.79, 355,969.08 and 144,747.54

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Solution

The fourth proportional to 257,924.79, 355,969.08 and 144,747.54 is: 199,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,924.79 : 355,969.08 = 144,747.54 : x
  2. Step 2: Convert to fraction form
    257,924.79/355,969.08 = 144,747.54/x
  3. Step 3: Cross multiply
    257,924.79x = 355,969.08 × 144,747.54
  4. Step 4: Simplify right side
    257,924.79x = 51,525,648,646.06
  5. Step 5: Solve for x
    x = 51,525,648,646.06/257,924.79
  6. Step 6: Final answer
    x = 199,770.05

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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.