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Finding the Fourth Proportional to 242,904.60, 364,356.90 and 76,692.60

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Solution

The fourth proportional to 242,904.60, 364,356.90 and 76,692.60 is: 115,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904.60 : 364,356.90 = 76,692.60 : x
  2. Step 2: Convert to fraction form
    242,904.60/364,356.90 = 76,692.60/x
  3. Step 3: Cross multiply
    242,904.60x = 364,356.90 × 76,692.60
  4. Step 4: Simplify right side
    242,904.60x = 27,943,477,988.94
  5. Step 5: Solve for x
    x = 27,943,477,988.94/242,904.60
  6. Step 6: Final answer
    x = 115,038.90

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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.