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Finding the Fourth Proportional to 55,970.68, 77,239.20 and 30,820

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Solution

The fourth proportional to 55,970.68, 77,239.20 and 30,820 is: 42,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970.68 : 77,239.20 = 30,820 : x
  2. Step 2: Convert to fraction form
    55,970.68/77,239.20 = 30,820/x
  3. Step 3: Cross multiply
    55,970.68x = 77,239.20 × 30,820
  4. Step 4: Simplify right side
    55,970.68x = 2,380,512,144
  5. Step 5: Solve for x
    x = 2,380,512,144/55,970.68
  6. Step 6: Final answer
    x = 42,531.41

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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.