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Finding the Fourth Proportional to 78,034.51, 107,689.80 and 47,397.26

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Solution

The fourth proportional to 78,034.51, 107,689.80 and 47,397.26 is: 65,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.51 : 107,689.80 = 47,397.26 : x
  2. Step 2: Convert to fraction form
    78,034.51/107,689.80 = 47,397.26/x
  3. Step 3: Cross multiply
    78,034.51x = 107,689.80 × 47,397.26
  4. Step 4: Simplify right side
    78,034.51x = 5,104,201,194.12
  5. Step 5: Solve for x
    x = 5,104,201,194.12/78,034.51
  6. Step 6: Final answer
    x = 65,409.53

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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.