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Finding the Fourth Proportional to 55,970.82, 77,239.80 and 30,820.32

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Solution

The fourth proportional to 55,970.82, 77,239.80 and 30,820.32 is: 42,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970.82 : 77,239.80 = 30,820.32 : x
  2. Step 2: Convert to fraction form
    55,970.82/77,239.80 = 30,820.32/x
  3. Step 3: Cross multiply
    55,970.82x = 77,239.80 × 30,820.32
  4. Step 4: Simplify right side
    55,970.82x = 2,380,555,352.74
  5. Step 5: Solve for x
    x = 2,380,555,352.74/55,970.82
  6. Step 6: Final answer
    x = 42,532.08

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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.