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Finding the Fourth Proportional to 162,106.40, 243,013.80 and 102,911.60

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Solution

The fourth proportional to 162,106.40, 243,013.80 and 102,911.60 is: 154,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,106.40 : 243,013.80 = 102,911.60 : x
  2. Step 2: Convert to fraction form
    162,106.40/243,013.80 = 102,911.60/x
  3. Step 3: Cross multiply
    162,106.40x = 243,013.80 × 102,911.60
  4. Step 4: Simplify right side
    162,106.40x = 25,008,938,980.08
  5. Step 5: Solve for x
    x = 25,008,938,980.08/162,106.40
  6. Step 6: Final answer
    x = 154,274.84

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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.