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Finding the Fourth Proportional to 145,041.58, 217,562.07 and 81,833.01

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Solution

The fourth proportional to 145,041.58, 217,562.07 and 81,833.01 is: 122,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,041.58 : 217,562.07 = 81,833.01 : x
  2. Step 2: Convert to fraction form
    145,041.58/217,562.07 = 81,833.01/x
  3. Step 3: Cross multiply
    145,041.58x = 217,562.07 × 81,833.01
  4. Step 4: Simplify right side
    145,041.58x = 17,803,759,049.93
  5. Step 5: Solve for x
    x = 17,803,759,049.93/145,041.58
  6. Step 6: Final answer
    x = 122,749.35

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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.