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Finding the Fourth Proportional to 102,392.16, 153,301.44 and 77,353.44

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Solution

The fourth proportional to 102,392.16, 153,301.44 and 77,353.44 is: 115,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.16 : 153,301.44 = 77,353.44 : x
  2. Step 2: Convert to fraction form
    102,392.16/153,301.44 = 77,353.44/x
  3. Step 3: Cross multiply
    102,392.16x = 153,301.44 × 77,353.44
  4. Step 4: Simplify right side
    102,392.16x = 11,858,393,740.95
  5. Step 5: Solve for x
    x = 11,858,393,740.95/102,392.16
  6. Step 6: Final answer
    x = 115,813.49

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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.