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Finding the Fourth Proportional to 209,985.54, 314,978.19 and 52,213.98

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Solution

The fourth proportional to 209,985.54, 314,978.19 and 52,213.98 is: 78,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.54 : 314,978.19 = 52,213.98 : x
  2. Step 2: Convert to fraction form
    209,985.54/314,978.19 = 52,213.98/x
  3. Step 3: Cross multiply
    209,985.54x = 314,978.19 × 52,213.98
  4. Step 4: Simplify right side
    209,985.54x = 16,446,264,913.10
  5. Step 5: Solve for x
    x = 16,446,264,913.10/209,985.54
  6. Step 6: Final answer
    x = 78,320.94

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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.