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Finding the Fourth Proportional to 78,218.44, 107,938.74 and 46,368.40

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Solution

The fourth proportional to 78,218.44, 107,938.74 and 46,368.40 is: 63,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.44 : 107,938.74 = 46,368.40 : x
  2. Step 2: Convert to fraction form
    78,218.44/107,938.74 = 46,368.40/x
  3. Step 3: Cross multiply
    78,218.44x = 107,938.74 × 46,368.40
  4. Step 4: Simplify right side
    78,218.44x = 5,004,946,671.82
  5. Step 5: Solve for x
    x = 5,004,946,671.82/78,218.44
  6. Step 6: Final answer
    x = 63,986.79

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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.