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Finding the Fourth Proportional to 78,543.36, 117,866.88 and 41,633.28

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Solution

The fourth proportional to 78,543.36, 117,866.88 and 41,633.28 is: 62,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.36 : 117,866.88 = 41,633.28 : x
  2. Step 2: Convert to fraction form
    78,543.36/117,866.88 = 41,633.28/x
  3. Step 3: Cross multiply
    78,543.36x = 117,866.88 × 41,633.28
  4. Step 4: Simplify right side
    78,543.36x = 4,907,184,817.77
  5. Step 5: Solve for x
    x = 4,907,184,817.77/78,543.36
  6. Step 6: Final answer
    x = 62,477.40

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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.