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Finding the Fourth Proportional to 247,056.10, 370,580.25 and 78,574

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Solution

The fourth proportional to 247,056.10, 370,580.25 and 78,574 is: 117,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,056.10 : 370,580.25 = 78,574 : x
  2. Step 2: Convert to fraction form
    247,056.10/370,580.25 = 78,574/x
  3. Step 3: Cross multiply
    247,056.10x = 370,580.25 × 78,574
  4. Step 4: Simplify right side
    247,056.10x = 29,117,972,563.50
  5. Step 5: Solve for x
    x = 29,117,972,563.50/247,056.10
  6. Step 6: Final answer
    x = 117,859.76

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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.