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Finding the Fourth Proportional to 78,141.61, 117,211.54 and 18,977.25

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Solution

The fourth proportional to 78,141.61, 117,211.54 and 18,977.25 is: 28,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.61 : 117,211.54 = 18,977.25 : x
  2. Step 2: Convert to fraction form
    78,141.61/117,211.54 = 18,977.25/x
  3. Step 3: Cross multiply
    78,141.61x = 117,211.54 × 18,977.25
  4. Step 4: Simplify right side
    78,141.61x = 2,224,352,697.47
  5. Step 5: Solve for x
    x = 2,224,352,697.47/78,141.61
  6. Step 6: Final answer
    x = 28,465.66

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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.