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Finding the Fourth Proportional to 142,893.91, 197,195.61 and 78,368.77

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Solution

The fourth proportional to 142,893.91, 197,195.61 and 78,368.77 is: 108,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,893.91 : 197,195.61 = 78,368.77 : x
  2. Step 2: Convert to fraction form
    142,893.91/197,195.61 = 78,368.77/x
  3. Step 3: Cross multiply
    142,893.91x = 197,195.61 × 78,368.77
  4. Step 4: Simplify right side
    142,893.91x = 15,453,977,405.10
  5. Step 5: Solve for x
    x = 15,453,977,405.10/142,893.91
  6. Step 6: Final answer
    x = 108,150.01

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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.