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Finding the Fourth Proportional to 247,202, 370,830.36 and 78,663.28

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Solution

The fourth proportional to 247,202, 370,830.36 and 78,663.28 is: 118,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,202 : 370,830.36 = 78,663.28 : x
  2. Step 2: Convert to fraction form
    247,202/370,830.36 = 78,663.28/x
  3. Step 3: Cross multiply
    247,202x = 370,830.36 × 78,663.28
  4. Step 4: Simplify right side
    247,202x = 29,170,732,441.18
  5. Step 5: Solve for x
    x = 29,170,732,441.18/247,202
  6. Step 6: Final answer
    x = 118,003.63

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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.