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Finding the Fourth Proportional to 105,027.64, 144,888.12 and 71,048.02

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Solution

The fourth proportional to 105,027.64, 144,888.12 and 71,048.02 is: 98,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.64 : 144,888.12 = 71,048.02 : x
  2. Step 2: Convert to fraction form
    105,027.64/144,888.12 = 71,048.02/x
  3. Step 3: Cross multiply
    105,027.64x = 144,888.12 × 71,048.02
  4. Step 4: Simplify right side
    105,027.64x = 10,294,014,047.52
  5. Step 5: Solve for x
    x = 10,294,014,047.52/105,027.64
  6. Step 6: Final answer
    x = 98,012.43

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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.