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Finding the Fourth Proportional to 76,334.16, 105,339.78 and 42,800.16

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Solution

The fourth proportional to 76,334.16, 105,339.78 and 42,800.16 is: 59,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.16 : 105,339.78 = 42,800.16 : x
  2. Step 2: Convert to fraction form
    76,334.16/105,339.78 = 42,800.16/x
  3. Step 3: Cross multiply
    76,334.16x = 105,339.78 × 42,800.16
  4. Step 4: Simplify right side
    76,334.16x = 4,508,559,438.36
  5. Step 5: Solve for x
    x = 4,508,559,438.36/76,334.16
  6. Step 6: Final answer
    x = 59,063.46

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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.