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Finding the Fourth Proportional to 102,996, 154,494.93 and 40,666.50

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Solution

The fourth proportional to 102,996, 154,494.93 and 40,666.50 is: 61,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996 : 154,494.93 = 40,666.50 : x
  2. Step 2: Convert to fraction form
    102,996/154,494.93 = 40,666.50/x
  3. Step 3: Cross multiply
    102,996x = 154,494.93 × 40,666.50
  4. Step 4: Simplify right side
    102,996x = 6,282,768,070.85
  5. Step 5: Solve for x
    x = 6,282,768,070.85/102,996
  6. Step 6: Final answer
    x = 61,000.12

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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.