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Finding the Fourth Proportional to 89,116, 122,980.08 and 53,307.52

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Solution

The fourth proportional to 89,116, 122,980.08 and 53,307.52 is: 73,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,116 : 122,980.08 = 53,307.52 : x
  2. Step 2: Convert to fraction form
    89,116/122,980.08 = 53,307.52/x
  3. Step 3: Cross multiply
    89,116x = 122,980.08 × 53,307.52
  4. Step 4: Simplify right side
    89,116x = 6,555,763,074.20
  5. Step 5: Solve for x
    x = 6,555,763,074.20/89,116
  6. Step 6: Final answer
    x = 73,564.38

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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.