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Finding the Fourth Proportional to 156,698.96, 216,422.61 and 105,623.60

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Solution

The fourth proportional to 156,698.96, 216,422.61 and 105,623.60 is: 145,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,698.96 : 216,422.61 = 105,623.60 : x
  2. Step 2: Convert to fraction form
    156,698.96/216,422.61 = 105,623.60/x
  3. Step 3: Cross multiply
    156,698.96x = 216,422.61 × 105,623.60
  4. Step 4: Simplify right side
    156,698.96x = 22,859,335,189.60
  5. Step 5: Solve for x
    x = 22,859,335,189.60/156,698.96
  6. Step 6: Final answer
    x = 145,880.58

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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.