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Finding the Fourth Proportional to 42,130, 63,213.45 and 19,959.22

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Solution

The fourth proportional to 42,130, 63,213.45 and 19,959.22 is: 29,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,130 : 63,213.45 = 19,959.22 : x
  2. Step 2: Convert to fraction form
    42,130/63,213.45 = 19,959.22/x
  3. Step 3: Cross multiply
    42,130x = 63,213.45 × 19,959.22
  4. Step 4: Simplify right side
    42,130x = 1,261,691,155.51
  5. Step 5: Solve for x
    x = 1,261,691,155.51/42,130
  6. Step 6: Final answer
    x = 29,947.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.