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Finding the Fourth Proportional to 70,200.42, 105,774.10 and 57,993.77

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Solution

The fourth proportional to 70,200.42, 105,774.10 and 57,993.77 is: 87,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200.42 : 105,774.10 = 57,993.77 : x
  2. Step 2: Convert to fraction form
    70,200.42/105,774.10 = 57,993.77/x
  3. Step 3: Cross multiply
    70,200.42x = 105,774.10 × 57,993.77
  4. Step 4: Simplify right side
    70,200.42x = 6,134,239,273.02
  5. Step 5: Solve for x
    x = 6,134,239,273.02/70,200.42
  6. Step 6: Final answer
    x = 87,381.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.