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Finding the Fourth Proportional to 102,656.39, 153,937.67 and 31,554.27

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Solution

The fourth proportional to 102,656.39, 153,937.67 and 31,554.27 is: 47,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.39 : 153,937.67 = 31,554.27 : x
  2. Step 2: Convert to fraction form
    102,656.39/153,937.67 = 31,554.27/x
  3. Step 3: Cross multiply
    102,656.39x = 153,937.67 × 31,554.27
  4. Step 4: Simplify right side
    102,656.39x = 4,857,390,644.58
  5. Step 5: Solve for x
    x = 4,857,390,644.58/102,656.39
  6. Step 6: Final answer
    x = 47,316.99

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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.