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Finding the Fourth Proportional to 162,114.90, 243,208.80 and 49,800.30

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Solution

The fourth proportional to 162,114.90, 243,208.80 and 49,800.30 is: 74,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,114.90 : 243,208.80 = 49,800.30 : x
  2. Step 2: Convert to fraction form
    162,114.90/243,208.80 = 49,800.30/x
  3. Step 3: Cross multiply
    162,114.90x = 243,208.80 × 49,800.30
  4. Step 4: Simplify right side
    162,114.90x = 12,111,871,202.64
  5. Step 5: Solve for x
    x = 12,111,871,202.64/162,114.90
  6. Step 6: Final answer
    x = 74,711.65

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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.