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Finding the Fourth Proportional to 55,778.40, 76,973.76 and 30,627.84

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Solution

The fourth proportional to 55,778.40, 76,973.76 and 30,627.84 is: 42,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778.40 : 76,973.76 = 30,627.84 : x
  2. Step 2: Convert to fraction form
    55,778.40/76,973.76 = 30,627.84/x
  3. Step 3: Cross multiply
    55,778.40x = 76,973.76 × 30,627.84
  4. Step 4: Simplify right side
    55,778.40x = 2,357,540,005.48
  5. Step 5: Solve for x
    x = 2,357,540,005.48/55,778.40
  6. Step 6: Final answer
    x = 42,266.18

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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.