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Finding the Fourth Proportional to 257,050.67, 354,734.31 and 140,774.36

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Solution

The fourth proportional to 257,050.67, 354,734.31 and 140,774.36 is: 194,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,050.67 : 354,734.31 = 140,774.36 : x
  2. Step 2: Convert to fraction form
    257,050.67/354,734.31 = 140,774.36/x
  3. Step 3: Cross multiply
    257,050.67x = 354,734.31 × 140,774.36
  4. Step 4: Simplify right side
    257,050.67x = 49,937,495,460.29
  5. Step 5: Solve for x
    x = 49,937,495,460.29/257,050.67
  6. Step 6: Final answer
    x = 194,271.02

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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.