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Finding the Fourth Proportional to 55,649.40, 76,795.74 and 30,498.84

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Solution

The fourth proportional to 55,649.40, 76,795.74 and 30,498.84 is: 42,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.40 : 76,795.74 = 30,498.84 : x
  2. Step 2: Convert to fraction form
    55,649.40/76,795.74 = 30,498.84/x
  3. Step 3: Cross multiply
    55,649.40x = 76,795.74 × 30,498.84
  4. Step 4: Simplify right side
    55,649.40x = 2,342,180,986.94
  5. Step 5: Solve for x
    x = 2,342,180,986.94/55,649.40
  6. Step 6: Final answer
    x = 42,088.16

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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.