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Finding the Fourth Proportional to 162,206.84, 243,157.16 and 78,014.63

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Solution

The fourth proportional to 162,206.84, 243,157.16 and 78,014.63 is: 116,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,206.84 : 243,157.16 = 78,014.63 : x
  2. Step 2: Convert to fraction form
    162,206.84/243,157.16 = 78,014.63/x
  3. Step 3: Cross multiply
    162,206.84x = 243,157.16 × 78,014.63
  4. Step 4: Simplify right side
    162,206.84x = 18,969,814,263.39
  5. Step 5: Solve for x
    x = 18,969,814,263.39/162,206.84
  6. Step 6: Final answer
    x = 116,948.30

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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.