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Finding the Fourth Proportional to 76,234, 105,202.92 and 42,700

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Solution

The fourth proportional to 76,234, 105,202.92 and 42,700 is: 58,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,234 : 105,202.92 = 42,700 : x
  2. Step 2: Convert to fraction form
    76,234/105,202.92 = 42,700/x
  3. Step 3: Cross multiply
    76,234x = 105,202.92 × 42,700
  4. Step 4: Simplify right side
    76,234x = 4,492,164,684
  5. Step 5: Solve for x
    x = 4,492,164,684/76,234
  6. Step 6: Final answer
    x = 58,926

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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.