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Finding the Fourth Proportional to 197,011.40, 295,430.70 and 78,643.40

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Solution

The fourth proportional to 197,011.40, 295,430.70 and 78,643.40 is: 117,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,011.40 : 295,430.70 = 78,643.40 : x
  2. Step 2: Convert to fraction form
    197,011.40/295,430.70 = 78,643.40/x
  3. Step 3: Cross multiply
    197,011.40x = 295,430.70 × 78,643.40
  4. Step 4: Simplify right side
    197,011.40x = 23,233,674,712.38
  5. Step 5: Solve for x
    x = 23,233,674,712.38/197,011.40
  6. Step 6: Final answer
    x = 117,930.61

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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.