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Finding the Fourth Proportional to 78,252.72, 107,985.84 and 46,402.56

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Solution

The fourth proportional to 78,252.72, 107,985.84 and 46,402.56 is: 64,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,252.72 : 107,985.84 = 46,402.56 : x
  2. Step 2: Convert to fraction form
    78,252.72/107,985.84 = 46,402.56/x
  3. Step 3: Cross multiply
    78,252.72x = 107,985.84 × 46,402.56
  4. Step 4: Simplify right side
    78,252.72x = 5,010,819,419.75
  5. Step 5: Solve for x
    x = 5,010,819,419.75/78,252.72
  6. Step 6: Final answer
    x = 64,033.81

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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.