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Finding the Fourth Proportional to 78,568.39, 108,421.14 and 42,758.47

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Solution

The fourth proportional to 78,568.39, 108,421.14 and 42,758.47 is: 59,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.39 : 108,421.14 = 42,758.47 : x
  2. Step 2: Convert to fraction form
    78,568.39/108,421.14 = 42,758.47/x
  3. Step 3: Cross multiply
    78,568.39x = 108,421.14 × 42,758.47
  4. Step 4: Simplify right side
    78,568.39x = 4,635,922,062.06
  5. Step 5: Solve for x
    x = 4,635,922,062.06/78,568.39
  6. Step 6: Final answer
    x = 59,004.93

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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.