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Finding the Fourth Proportional to 157,065.80, 235,080.30 and 121,814.60

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Solution

The fourth proportional to 157,065.80, 235,080.30 and 121,814.60 is: 182,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,065.80 : 235,080.30 = 121,814.60 : x
  2. Step 2: Convert to fraction form
    157,065.80/235,080.30 = 121,814.60/x
  3. Step 3: Cross multiply
    157,065.80x = 235,080.30 × 121,814.60
  4. Step 4: Simplify right side
    157,065.80x = 28,636,212,712.38
  5. Step 5: Solve for x
    x = 28,636,212,712.38/157,065.80
  6. Step 6: Final answer
    x = 182,319.85

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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.