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Finding the Fourth Proportional to 102,117, 153,184.14 and 28,245

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Solution

The fourth proportional to 102,117, 153,184.14 and 28,245 is: 42,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117 : 153,184.14 = 28,245 : x
  2. Step 2: Convert to fraction form
    102,117/153,184.14 = 28,245/x
  3. Step 3: Cross multiply
    102,117x = 153,184.14 × 28,245
  4. Step 4: Simplify right side
    102,117x = 4,326,686,034.30
  5. Step 5: Solve for x
    x = 4,326,686,034.30/102,117
  6. Step 6: Final answer
    x = 42,369.89

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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.