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Finding the Fourth Proportional to 102,017, 153,034.32 and 28,145

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Solution

The fourth proportional to 102,017, 153,034.32 and 28,145 is: 42,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,017 : 153,034.32 = 28,145 : x
  2. Step 2: Convert to fraction form
    102,017/153,034.32 = 28,145/x
  3. Step 3: Cross multiply
    102,017x = 153,034.32 × 28,145
  4. Step 4: Simplify right side
    102,017x = 4,307,150,936.40
  5. Step 5: Solve for x
    x = 4,307,150,936.40/102,017
  6. Step 6: Final answer
    x = 42,219.93

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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.