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Finding the Fourth Proportional to 108,405.60, 162,802.80 and 78,856.80

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Solution

The fourth proportional to 108,405.60, 162,802.80 and 78,856.80 is: 118,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,405.60 : 162,802.80 = 78,856.80 : x
  2. Step 2: Convert to fraction form
    108,405.60/162,802.80 = 78,856.80/x
  3. Step 3: Cross multiply
    108,405.60x = 162,802.80 × 78,856.80
  4. Step 4: Simplify right side
    108,405.60x = 12,838,107,839.04
  5. Step 5: Solve for x
    x = 12,838,107,839.04/108,405.60
  6. Step 6: Final answer
    x = 118,426.61

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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.