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Finding the Fourth Proportional to 144,421.96, 216,639.60 and 102,489.88

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Solution

The fourth proportional to 144,421.96, 216,639.60 and 102,489.88 is: 153,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,421.96 : 216,639.60 = 102,489.88 : x
  2. Step 2: Convert to fraction form
    144,421.96/216,639.60 = 102,489.88/x
  3. Step 3: Cross multiply
    144,421.96x = 216,639.60 × 102,489.88
  4. Step 4: Simplify right side
    144,421.96x = 22,203,366,607.25
  5. Step 5: Solve for x
    x = 22,203,366,607.25/144,421.96
  6. Step 6: Final answer
    x = 153,739.55

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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.