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Finding the Fourth Proportional to 76,509.50, 105,593.02 and 42,975.50

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Solution

The fourth proportional to 76,509.50, 105,593.02 and 42,975.50 is: 59,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.50 : 105,593.02 = 42,975.50 : x
  2. Step 2: Convert to fraction form
    76,509.50/105,593.02 = 42,975.50/x
  3. Step 3: Cross multiply
    76,509.50x = 105,593.02 × 42,975.50
  4. Step 4: Simplify right side
    76,509.50x = 4,537,912,831.01
  5. Step 5: Solve for x
    x = 4,537,912,831.01/76,509.50
  6. Step 6: Final answer
    x = 59,311.76

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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.