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Finding the Fourth Proportional to 197,948.80, 296,728.80 and 98,124.40

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Solution

The fourth proportional to 197,948.80, 296,728.80 and 98,124.40 is: 147,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,948.80 : 296,728.80 = 98,124.40 : x
  2. Step 2: Convert to fraction form
    197,948.80/296,728.80 = 98,124.40/x
  3. Step 3: Cross multiply
    197,948.80x = 296,728.80 × 98,124.40
  4. Step 4: Simplify right side
    197,948.80x = 29,116,335,462.72
  5. Step 5: Solve for x
    x = 29,116,335,462.72/197,948.80
  6. Step 6: Final answer
    x = 147,090.23

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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.