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Finding the Fourth Proportional to 257,698, 355,662.12 and 157,154.32

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Solution

The fourth proportional to 257,698, 355,662.12 and 157,154.32 is: 216,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,698 : 355,662.12 = 157,154.32 : x
  2. Step 2: Convert to fraction form
    257,698/355,662.12 = 157,154.32/x
  3. Step 3: Cross multiply
    257,698x = 355,662.12 × 157,154.32
  4. Step 4: Simplify right side
    257,698x = 55,893,838,618.36
  5. Step 5: Solve for x
    x = 55,893,838,618.36/257,698
  6. Step 6: Final answer
    x = 216,896.67

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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.