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Finding the Fourth Proportional to 213,368.84, 320,071.62 and 55,597.40

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Solution

The fourth proportional to 213,368.84, 320,071.62 and 55,597.40 is: 83,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,368.84 : 320,071.62 = 55,597.40 : x
  2. Step 2: Convert to fraction form
    213,368.84/320,071.62 = 55,597.40/x
  3. Step 3: Cross multiply
    213,368.84x = 320,071.62 × 55,597.40
  4. Step 4: Simplify right side
    213,368.84x = 17,795,149,885.79
  5. Step 5: Solve for x
    x = 17,795,149,885.79/213,368.84
  6. Step 6: Final answer
    x = 83,400.88

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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.