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Finding the Fourth Proportional to 78,505.40, 108,299.40 and 46,651.76

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Solution

The fourth proportional to 78,505.40, 108,299.40 and 46,651.76 is: 64,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.40 : 108,299.40 = 46,651.76 : x
  2. Step 2: Convert to fraction form
    78,505.40/108,299.40 = 46,651.76/x
  3. Step 3: Cross multiply
    78,505.40x = 108,299.40 × 46,651.76
  4. Step 4: Simplify right side
    78,505.40x = 5,052,357,616.94
  5. Step 5: Solve for x
    x = 5,052,357,616.94/78,505.40
  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.