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Finding the Fourth Proportional to 78,453.94, 108,268.54 and 42,646.36

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Solution

The fourth proportional to 78,453.94, 108,268.54 and 42,646.36 is: 58,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.94 : 108,268.54 = 42,646.36 : x
  2. Step 2: Convert to fraction form
    78,453.94/108,268.54 = 42,646.36/x
  3. Step 3: Cross multiply
    78,453.94x = 108,268.54 × 42,646.36
  4. Step 4: Simplify right side
    78,453.94x = 4,617,259,133.51
  5. Step 5: Solve for x
    x = 4,617,259,133.51/78,453.94
  6. Step 6: Final answer
    x = 58,853.12

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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.