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Finding the Fourth Proportional to 78,468.08, 117,702.11 and 46,975.28

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Solution

The fourth proportional to 78,468.08, 117,702.11 and 46,975.28 is: 70,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.08 : 117,702.11 = 46,975.28 : x
  2. Step 2: Convert to fraction form
    78,468.08/117,702.11 = 46,975.28/x
  3. Step 3: Cross multiply
    78,468.08x = 117,702.11 × 46,975.28
  4. Step 4: Simplify right side
    78,468.08x = 5,529,089,102.77
  5. Step 5: Solve for x
    x = 5,529,089,102.77/78,468.08
  6. Step 6: Final answer
    x = 70,462.91

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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.