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Finding the Fourth Proportional to 199,256.76, 298,807.38 and 86,971.32

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Solution

The fourth proportional to 199,256.76, 298,807.38 and 86,971.32 is: 130,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,256.76 : 298,807.38 = 86,971.32 : x
  2. Step 2: Convert to fraction form
    199,256.76/298,807.38 = 86,971.32/x
  3. Step 3: Cross multiply
    199,256.76x = 298,807.38 × 86,971.32
  4. Step 4: Simplify right side
    199,256.76x = 25,987,672,264.34
  5. Step 5: Solve for x
    x = 25,987,672,264.34/199,256.76
  6. Step 6: Final answer
    x = 130,423.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.