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Finding the Fourth Proportional to 257,709, 355,677.30 and 157,165.32

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Solution

The fourth proportional to 257,709, 355,677.30 and 157,165.32 is: 216,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,709 : 355,677.30 = 157,165.32 : x
  2. Step 2: Convert to fraction form
    257,709/355,677.30 = 157,165.32/x
  3. Step 3: Cross multiply
    257,709x = 355,677.30 × 157,165.32
  4. Step 4: Simplify right side
    257,709x = 55,900,136,671.24
  5. Step 5: Solve for x
    x = 55,900,136,671.24/257,709
  6. Step 6: Final answer
    x = 216,911.85

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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.