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Finding the Fourth Proportional to 78,141.84, 107,805.96 and 46,303.44

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Solution

The fourth proportional to 78,141.84, 107,805.96 and 46,303.44 is: 63,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.84 : 107,805.96 = 46,303.44 : x
  2. Step 2: Convert to fraction form
    78,141.84/107,805.96 = 46,303.44/x
  3. Step 3: Cross multiply
    78,141.84x = 107,805.96 × 46,303.44
  4. Step 4: Simplify right side
    78,141.84x = 4,991,786,800.50
  5. Step 5: Solve for x
    x = 4,991,786,800.50/78,141.84
  6. Step 6: Final answer
    x = 63,881.10

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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.