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Finding the Fourth Proportional to 92,047.23, 138,071.18 and 28,006

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Solution

The fourth proportional to 92,047.23, 138,071.18 and 28,006 is: 42,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,047.23 : 138,071.18 = 28,006 : x
  2. Step 2: Convert to fraction form
    92,047.23/138,071.18 = 28,006/x
  3. Step 3: Cross multiply
    92,047.23x = 138,071.18 × 28,006
  4. Step 4: Simplify right side
    92,047.23x = 3,866,821,467.08
  5. Step 5: Solve for x
    x = 3,866,821,467.08/92,047.23
  6. Step 6: Final answer
    x = 42,009.10

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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.