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Finding the Fourth Proportional to 162,783.80, 243,981.30 and 83,857.40

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Solution

The fourth proportional to 162,783.80, 243,981.30 and 83,857.40 is: 125,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783.80 : 243,981.30 = 83,857.40 : x
  2. Step 2: Convert to fraction form
    162,783.80/243,981.30 = 83,857.40/x
  3. Step 3: Cross multiply
    162,783.80x = 243,981.30 × 83,857.40
  4. Step 4: Simplify right side
    162,783.80x = 20,459,637,466.62
  5. Step 5: Solve for x
    x = 20,459,637,466.62/162,783.80
  6. Step 6: Final answer
    x = 125,685.96

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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.