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Finding the Fourth Proportional to 74,516, 111,774.27 and 70,778.66

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Solution

The fourth proportional to 74,516, 111,774.27 and 70,778.66 is: 106,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,516 : 111,774.27 = 70,778.66 : x
  2. Step 2: Convert to fraction form
    74,516/111,774.27 = 70,778.66/x
  3. Step 3: Cross multiply
    74,516x = 111,774.27 × 70,778.66
  4. Step 4: Simplify right side
    74,516x = 7,911,233,053.08
  5. Step 5: Solve for x
    x = 7,911,233,053.08/74,516
  6. Step 6: Final answer
    x = 106,168.25

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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.