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Finding the Fourth Proportional to 72,878.94, 109,309.02 and 30,775.68

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Solution

The fourth proportional to 72,878.94, 109,309.02 and 30,775.68 is: 46,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,878.94 : 109,309.02 = 30,775.68 : x
  2. Step 2: Convert to fraction form
    72,878.94/109,309.02 = 30,775.68/x
  3. Step 3: Cross multiply
    72,878.94x = 109,309.02 × 30,775.68
  4. Step 4: Simplify right side
    72,878.94x = 3,364,059,420.63
  5. Step 5: Solve for x
    x = 3,364,059,420.63/72,878.94
  6. Step 6: Final answer
    x = 46,159.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.