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Finding the Fourth Proportional to 76,435, 105,480.30 and 42,901

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Solution

The fourth proportional to 76,435, 105,480.30 and 42,901 is: 59,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435 : 105,480.30 = 42,901 : x
  2. Step 2: Convert to fraction form
    76,435/105,480.30 = 42,901/x
  3. Step 3: Cross multiply
    76,435x = 105,480.30 × 42,901
  4. Step 4: Simplify right side
    76,435x = 4,525,210,350.30
  5. Step 5: Solve for x
    x = 4,525,210,350.30/76,435
  6. Step 6: Final answer
    x = 59,203.38

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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.