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Finding the Fourth Proportional to 142,898.96, 197,160.96 and 82,465.36

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Solution

The fourth proportional to 142,898.96, 197,160.96 and 82,465.36 is: 113,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898.96 : 197,160.96 = 82,465.36 : x
  2. Step 2: Convert to fraction form
    142,898.96/197,160.96 = 82,465.36/x
  3. Step 3: Cross multiply
    142,898.96x = 197,160.96 × 82,465.36
  4. Step 4: Simplify right side
    142,898.96x = 16,258,949,544.35
  5. Step 5: Solve for x
    x = 16,258,949,544.35/142,898.96
  6. Step 6: Final answer
    x = 113,779.34

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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.