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Finding the Fourth Proportional to 78,745.76, 108,681.61 and 46,933.11

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Solution

The fourth proportional to 78,745.76, 108,681.61 and 46,933.11 is: 64,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,745.76 : 108,681.61 = 46,933.11 : x
  2. Step 2: Convert to fraction form
    78,745.76/108,681.61 = 46,933.11/x
  3. Step 3: Cross multiply
    78,745.76x = 108,681.61 × 46,933.11
  4. Step 4: Simplify right side
    78,745.76x = 5,100,765,957.11
  5. Step 5: Solve for x
    x = 5,100,765,957.11/78,745.76
  6. Step 6: Final answer
    x = 64,775.12

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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.