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Finding the Fourth Proportional to 76,246.72, 105,220.32 and 42,712

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Solution

The fourth proportional to 76,246.72, 105,220.32 and 42,712 is: 58,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246.72 : 105,220.32 = 42,712 : x
  2. Step 2: Convert to fraction form
    76,246.72/105,220.32 = 42,712/x
  3. Step 3: Cross multiply
    76,246.72x = 105,220.32 × 42,712
  4. Step 4: Simplify right side
    76,246.72x = 4,494,170,307.84
  5. Step 5: Solve for x
    x = 4,494,170,307.84/76,246.72
  6. Step 6: Final answer
    x = 58,942.47

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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.