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Finding the Fourth Proportional to 242,700.16, 364,086.72 and 76,485.76

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Solution

The fourth proportional to 242,700.16, 364,086.72 and 76,485.76 is: 114,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,700.16 : 364,086.72 = 76,485.76 : x
  2. Step 2: Convert to fraction form
    242,700.16/364,086.72 = 76,485.76/x
  3. Step 3: Cross multiply
    242,700.16x = 364,086.72 × 76,485.76
  4. Step 4: Simplify right side
    242,700.16x = 27,847,449,485.11
  5. Step 5: Solve for x
    x = 27,847,449,485.11/242,700.16
  6. Step 6: Final answer
    x = 114,740.14

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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.