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Finding the Fourth Proportional to 242,709.60, 364,064.40 and 136,421.40

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Solution

The fourth proportional to 242,709.60, 364,064.40 and 136,421.40 is: 204,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,709.60 : 364,064.40 = 136,421.40 : x
  2. Step 2: Convert to fraction form
    242,709.60/364,064.40 = 136,421.40/x
  3. Step 3: Cross multiply
    242,709.60x = 364,064.40 × 136,421.40
  4. Step 4: Simplify right side
    242,709.60x = 49,666,175,138.16
  5. Step 5: Solve for x
    x = 49,666,175,138.16/242,709.60
  6. Step 6: Final answer
    x = 204,632.10

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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.