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Finding the Fourth Proportional to 78,505.41, 108,299.40 and 46,651.77

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Solution

The fourth proportional to 78,505.41, 108,299.40 and 46,651.77 is: 64,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.41 : 108,299.40 = 46,651.77 : x
  2. Step 2: Convert to fraction form
    78,505.41/108,299.40 = 46,651.77/x
  3. Step 3: Cross multiply
    78,505.41x = 108,299.40 × 46,651.77
  4. Step 4: Simplify right side
    78,505.41x = 5,052,358,699.94
  5. Step 5: Solve for x
    x = 5,052,358,699.94/78,505.41
  6. Step 6: Final answer
    x = 64,356.82

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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.