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Finding the Fourth Proportional to 76,773, 105,946.92 and 43,239

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Solution

The fourth proportional to 76,773, 105,946.92 and 43,239 is: 59,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,773 : 105,946.92 = 43,239 : x
  2. Step 2: Convert to fraction form
    76,773/105,946.92 = 43,239/x
  3. Step 3: Cross multiply
    76,773x = 105,946.92 × 43,239
  4. Step 4: Simplify right side
    76,773x = 4,581,038,873.88
  5. Step 5: Solve for x
    x = 4,581,038,873.88/76,773
  6. Step 6: Final answer
    x = 59,669.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.