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Finding the Fourth Proportional to 76,201, 105,157.38 and 42,667.72

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Solution

The fourth proportional to 76,201, 105,157.38 and 42,667.72 is: 58,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201 : 105,157.38 = 42,667.72 : x
  2. Step 2: Convert to fraction form
    76,201/105,157.38 = 42,667.72/x
  3. Step 3: Cross multiply
    76,201x = 105,157.38 × 42,667.72
  4. Step 4: Simplify right side
    76,201x = 4,486,825,645.77
  5. Step 5: Solve for x
    x = 4,486,825,645.77/76,201
  6. Step 6: Final answer
    x = 58,881.45

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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.