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Finding the Fourth Proportional to 145,830, 201,245.44 and 78,762

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Solution

The fourth proportional to 145,830, 201,245.44 and 78,762 is: 108,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 201,245.44 = 78,762 : x
  2. Step 2: Convert to fraction form
    145,830/201,245.44 = 78,762/x
  3. Step 3: Cross multiply
    145,830x = 201,245.44 × 78,762
  4. Step 4: Simplify right side
    145,830x = 15,850,493,345.28
  5. Step 5: Solve for x
    x = 15,850,493,345.28/145,830
  6. Step 6: Final answer
    x = 108,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.