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Finding the Fourth Proportional to 78,412.68, 117,605.14 and 35,708.33

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Solution

The fourth proportional to 78,412.68, 117,605.14 and 35,708.33 is: 53,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.68 : 117,605.14 = 35,708.33 : x
  2. Step 2: Convert to fraction form
    78,412.68/117,605.14 = 35,708.33/x
  3. Step 3: Cross multiply
    78,412.68x = 117,605.14 × 35,708.33
  4. Step 4: Simplify right side
    78,412.68x = 4,199,482,471.52
  5. Step 5: Solve for x
    x = 4,199,482,471.52/78,412.68
  6. Step 6: Final answer
    x = 53,556.17

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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.