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Finding the Fourth Proportional to 78,970.10, 108,943.70 and 47,120.49

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Solution

The fourth proportional to 78,970.10, 108,943.70 and 47,120.49 is: 65,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.10 : 108,943.70 = 47,120.49 : x
  2. Step 2: Convert to fraction form
    78,970.10/108,943.70 = 47,120.49/x
  3. Step 3: Cross multiply
    78,970.10x = 108,943.70 × 47,120.49
  4. Step 4: Simplify right side
    78,970.10x = 5,133,480,290.81
  5. Step 5: Solve for x
    x = 5,133,480,290.81/78,970.10
  6. Step 6: Final answer
    x = 65,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.