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Finding the Fourth Proportional to 235,172.16, 324,528.24 and 127,740

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Solution

The fourth proportional to 235,172.16, 324,528.24 and 127,740 is: 176,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,172.16 : 324,528.24 = 127,740 : x
  2. Step 2: Convert to fraction form
    235,172.16/324,528.24 = 127,740/x
  3. Step 3: Cross multiply
    235,172.16x = 324,528.24 × 127,740
  4. Step 4: Simplify right side
    235,172.16x = 41,455,237,377.60
  5. Step 5: Solve for x
    x = 41,455,237,377.60/235,172.16
  6. Step 6: Final answer
    x = 176,276.13

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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.