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Finding the Fourth Proportional to 242,978.08, 364,603.20 and 102,841.60

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Solution

The fourth proportional to 242,978.08, 364,603.20 and 102,841.60 is: 154,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,978.08 : 364,603.20 = 102,841.60 : x
  2. Step 2: Convert to fraction form
    242,978.08/364,603.20 = 102,841.60/x
  3. Step 3: Cross multiply
    242,978.08x = 364,603.20 × 102,841.60
  4. Step 4: Simplify right side
    242,978.08x = 37,496,376,453.12
  5. Step 5: Solve for x
    x = 37,496,376,453.12/242,978.08
  6. Step 6: Final answer
    x = 154,320.00

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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.