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Finding the Fourth Proportional to 76,648.68, 105,774.44 and 42,656.63

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Solution

The fourth proportional to 76,648.68, 105,774.44 and 42,656.63 is: 58,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.68 : 105,774.44 = 42,656.63 : x
  2. Step 2: Convert to fraction form
    76,648.68/105,774.44 = 42,656.63/x
  3. Step 3: Cross multiply
    76,648.68x = 105,774.44 × 42,656.63
  4. Step 4: Simplify right side
    76,648.68x = 4,511,980,408.38
  5. Step 5: Solve for x
    x = 4,511,980,408.38/76,648.68
  6. Step 6: Final answer
    x = 58,865.73

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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.