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Finding the Fourth Proportional to 242,807.90, 364,039.05 and 92,990.30

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Solution

The fourth proportional to 242,807.90, 364,039.05 and 92,990.30 is: 139,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,807.90 : 364,039.05 = 92,990.30 : x
  2. Step 2: Convert to fraction form
    242,807.90/364,039.05 = 92,990.30/x
  3. Step 3: Cross multiply
    242,807.90x = 364,039.05 × 92,990.30
  4. Step 4: Simplify right side
    242,807.90x = 33,852,100,471.22
  5. Step 5: Solve for x
    x = 33,852,100,471.22/242,807.90
  6. Step 6: Final answer
    x = 139,419.27

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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.