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Finding the Fourth Proportional to 197,098.40, 295,307.40 and 91,701.20

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Solution

The fourth proportional to 197,098.40, 295,307.40 and 91,701.20 is: 137,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,098.40 : 295,307.40 = 91,701.20 : x
  2. Step 2: Convert to fraction form
    197,098.40/295,307.40 = 91,701.20/x
  3. Step 3: Cross multiply
    197,098.40x = 295,307.40 × 91,701.20
  4. Step 4: Simplify right side
    197,098.40x = 27,080,042,948.88
  5. Step 5: Solve for x
    x = 27,080,042,948.88/197,098.40
  6. Step 6: Final answer
    x = 137,393.52

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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.