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Finding the Fourth Proportional to 257,555.44, 355,437.98 and 142,826.40

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Solution

The fourth proportional to 257,555.44, 355,437.98 and 142,826.40 is: 197,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,555.44 : 355,437.98 = 142,826.40 : x
  2. Step 2: Convert to fraction form
    257,555.44/355,437.98 = 142,826.40/x
  3. Step 3: Cross multiply
    257,555.44x = 355,437.98 × 142,826.40
  4. Step 4: Simplify right side
    257,555.44x = 50,765,927,106.67
  5. Step 5: Solve for x
    x = 50,765,927,106.67/257,555.44
  6. Step 6: Final answer
    x = 197,106.79

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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.