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Finding the Fourth Proportional to 78,126.10, 107,806.32 and 43,664.48

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Solution

The fourth proportional to 78,126.10, 107,806.32 and 43,664.48 is: 60,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.10 : 107,806.32 = 43,664.48 : x
  2. Step 2: Convert to fraction form
    78,126.10/107,806.32 = 43,664.48/x
  3. Step 3: Cross multiply
    78,126.10x = 107,806.32 × 43,664.48
  4. Step 4: Simplify right side
    78,126.10x = 4,707,306,903.51
  5. Step 5: Solve for x
    x = 4,707,306,903.51/78,126.10
  6. Step 6: Final answer
    x = 60,252.68

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1.5x scale

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.