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Finding the Fourth Proportional to 172,978.60, 260,051.10 and 147,317.80

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Solution

The fourth proportional to 172,978.60, 260,051.10 and 147,317.80 is: 221,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,978.60 : 260,051.10 = 147,317.80 : x
  2. Step 2: Convert to fraction form
    172,978.60/260,051.10 = 147,317.80/x
  3. Step 3: Cross multiply
    172,978.60x = 260,051.10 × 147,317.80
  4. Step 4: Simplify right side
    172,978.60x = 38,310,155,939.58
  5. Step 5: Solve for x
    x = 38,310,155,939.58/172,978.60
  6. Step 6: Final answer
    x = 221,473.38

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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.