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Finding the Fourth Proportional to 76,649.68, 105,775.81 and 42,657.63

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Solution

The fourth proportional to 76,649.68, 105,775.81 and 42,657.63 is: 58,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649.68 : 105,775.81 = 42,657.63 : x
  2. Step 2: Convert to fraction form
    76,649.68/105,775.81 = 42,657.63/x
  3. Step 3: Cross multiply
    76,649.68x = 105,775.81 × 42,657.63
  4. Step 4: Simplify right side
    76,649.68x = 4,512,145,365.93
  5. Step 5: Solve for x
    x = 4,512,145,365.93/76,649.68
  6. Step 6: Final answer
    x = 58,867.11

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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.