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Finding the Fourth Proportional to 94,697.40, 142,046.10 and 77,784.60

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Solution

The fourth proportional to 94,697.40, 142,046.10 and 77,784.60 is: 116,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,697.40 : 142,046.10 = 77,784.60 : x
  2. Step 2: Convert to fraction form
    94,697.40/142,046.10 = 77,784.60/x
  3. Step 3: Cross multiply
    94,697.40x = 142,046.10 × 77,784.60
  4. Step 4: Simplify right side
    94,697.40x = 11,048,999,070.06
  5. Step 5: Solve for x
    x = 11,048,999,070.06/94,697.40
  6. Step 6: Final answer
    x = 116,676.90

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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.