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Finding the Fourth Proportional to 77,242.80, 106,595.64 and 43,708.08

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Solution

The fourth proportional to 77,242.80, 106,595.64 and 43,708.08 is: 60,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.80 : 106,595.64 = 43,708.08 : x
  2. Step 2: Convert to fraction form
    77,242.80/106,595.64 = 43,708.08/x
  3. Step 3: Cross multiply
    77,242.80x = 106,595.64 × 43,708.08
  4. Step 4: Simplify right side
    77,242.80x = 4,659,090,760.77
  5. Step 5: Solve for x
    x = 4,659,090,760.77/77,242.80
  6. Step 6: Final answer
    x = 60,317.48

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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.