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Finding the Fourth Proportional to 213,647.94, 320,373.11 and 78,677.93

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Solution

The fourth proportional to 213,647.94, 320,373.11 and 78,677.93 is: 117,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,647.94 : 320,373.11 = 78,677.93 : x
  2. Step 2: Convert to fraction form
    213,647.94/320,373.11 = 78,677.93/x
  3. Step 3: Cross multiply
    213,647.94x = 320,373.11 × 78,677.93
  4. Step 4: Simplify right side
    213,647.94x = 25,206,291,127.21
  5. Step 5: Solve for x
    x = 25,206,291,127.21/213,647.94
  6. Step 6: Final answer
    x = 117,980.50

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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.