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Finding the Fourth Proportional to 209,584, 314,433.60 and 61,840

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Solution

The fourth proportional to 209,584, 314,433.60 and 61,840 is: 92,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,584 : 314,433.60 = 61,840 : x
  2. Step 2: Convert to fraction form
    209,584/314,433.60 = 61,840/x
  3. Step 3: Cross multiply
    209,584x = 314,433.60 × 61,840
  4. Step 4: Simplify right side
    209,584x = 19,444,573,824
  5. Step 5: Solve for x
    x = 19,444,573,824/209,584
  6. Step 6: Final answer
    x = 92,777.00

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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.