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Finding the Fourth Proportional to 257,297.07, 355,064.65 and 142,574.72

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Solution

The fourth proportional to 257,297.07, 355,064.65 and 142,574.72 is: 196,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,297.07 : 355,064.65 = 142,574.72 : x
  2. Step 2: Convert to fraction form
    257,297.07/355,064.65 = 142,574.72/x
  3. Step 3: Cross multiply
    257,297.07x = 355,064.65 × 142,574.72
  4. Step 4: Simplify right side
    257,297.07x = 50,623,240,923.89
  5. Step 5: Solve for x
    x = 50,623,240,923.89/257,297.07
  6. Step 6: Final answer
    x = 196,750.16

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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.