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Finding the Fourth Proportional to 76,305.70, 105,303.09 and 42,315.58

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Solution

The fourth proportional to 76,305.70, 105,303.09 and 42,315.58 is: 58,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.70 : 105,303.09 = 42,315.58 : x
  2. Step 2: Convert to fraction form
    76,305.70/105,303.09 = 42,315.58/x
  3. Step 3: Cross multiply
    76,305.70x = 105,303.09 × 42,315.58
  4. Step 4: Simplify right side
    76,305.70x = 4,455,961,329.14
  5. Step 5: Solve for x
    x = 4,455,961,329.14/76,305.70
  6. Step 6: Final answer
    x = 58,396.18

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1.5x scale

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.