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Finding the Fourth Proportional to 76,495.20, 105,561.95 and 42,503.42

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Solution

The fourth proportional to 76,495.20, 105,561.95 and 42,503.42 is: 58,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.20 : 105,561.95 = 42,503.42 : x
  2. Step 2: Convert to fraction form
    76,495.20/105,561.95 = 42,503.42/x
  3. Step 3: Cross multiply
    76,495.20x = 105,561.95 × 42,503.42
  4. Step 4: Simplify right side
    76,495.20x = 4,486,743,156.54
  5. Step 5: Solve for x
    x = 4,486,743,156.54/76,495.20
  6. Step 6: Final answer
    x = 58,653.92

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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.