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Finding the Fourth Proportional to 162,102.40, 243,007.80 and 102,907.60

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Solution

The fourth proportional to 162,102.40, 243,007.80 and 102,907.60 is: 154,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,102.40 : 243,007.80 = 102,907.60 : x
  2. Step 2: Convert to fraction form
    162,102.40/243,007.80 = 102,907.60/x
  3. Step 3: Cross multiply
    162,102.40x = 243,007.80 × 102,907.60
  4. Step 4: Simplify right side
    162,102.40x = 25,007,349,479.28
  5. Step 5: Solve for x
    x = 25,007,349,479.28/162,102.40
  6. Step 6: Final answer
    x = 154,268.84

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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.