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Finding the Fourth Proportional to 242,897.50, 364,404.60 and 76,685.50

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Solution

The fourth proportional to 242,897.50, 364,404.60 and 76,685.50 is: 115,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,897.50 : 364,404.60 = 76,685.50 : x
  2. Step 2: Convert to fraction form
    242,897.50/364,404.60 = 76,685.50/x
  3. Step 3: Cross multiply
    242,897.50x = 364,404.60 × 76,685.50
  4. Step 4: Simplify right side
    242,897.50x = 27,944,548,953.30
  5. Step 5: Solve for x
    x = 27,944,548,953.30/242,897.50
  6. Step 6: Final answer
    x = 115,046.67

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1.5x scale

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.