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Finding the Fourth Proportional to 42,094, 63,143.79 and 14,012.92

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Solution

The fourth proportional to 42,094, 63,143.79 and 14,012.92 is: 21,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,094 : 63,143.79 = 14,012.92 : x
  2. Step 2: Convert to fraction form
    42,094/63,143.79 = 14,012.92/x
  3. Step 3: Cross multiply
    42,094x = 63,143.79 × 14,012.92
  4. Step 4: Simplify right side
    42,094x = 884,828,877.77
  5. Step 5: Solve for x
    x = 884,828,877.77/42,094
  6. Step 6: Final answer
    x = 21,020.31

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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.