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Finding the Fourth Proportional to 78,305.63, 117,603.32 and 40,891.52

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Solution

The fourth proportional to 78,305.63, 117,603.32 and 40,891.52 is: 61,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.63 : 117,603.32 = 40,891.52 : x
  2. Step 2: Convert to fraction form
    78,305.63/117,603.32 = 40,891.52/x
  3. Step 3: Cross multiply
    78,305.63x = 117,603.32 × 40,891.52
  4. Step 4: Simplify right side
    78,305.63x = 4,808,977,719.37
  5. Step 5: Solve for x
    x = 4,808,977,719.37/78,305.63
  6. Step 6: Final answer
    x = 61,412.93

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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.