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Finding the Fourth Proportional to 100,830.40, 151,124.10 and 58,629.40

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Solution

The fourth proportional to 100,830.40, 151,124.10 and 58,629.40 is: 87,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.40 : 151,124.10 = 58,629.40 : x
  2. Step 2: Convert to fraction form
    100,830.40/151,124.10 = 58,629.40/x
  3. Step 3: Cross multiply
    100,830.40x = 151,124.10 × 58,629.40
  4. Step 4: Simplify right side
    100,830.40x = 8,860,315,308.54
  5. Step 5: Solve for x
    x = 8,860,315,308.54/100,830.40
  6. Step 6: Final answer
    x = 87,873.45

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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.