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Finding the Fourth Proportional to 204,503.61, 306,829.23 and 71,403.47

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Solution

The fourth proportional to 204,503.61, 306,829.23 and 71,403.47 is: 107,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,503.61 : 306,829.23 = 71,403.47 : x
  2. Step 2: Convert to fraction form
    204,503.61/306,829.23 = 71,403.47/x
  3. Step 3: Cross multiply
    204,503.61x = 306,829.23 × 71,403.47
  4. Step 4: Simplify right side
    204,503.61x = 21,908,671,719.43
  5. Step 5: Solve for x
    x = 21,908,671,719.43/204,503.61
  6. Step 6: Final answer
    x = 107,130.98

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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.