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Finding the Fourth Proportional to 215,543.98, 323,316.58 and 75,302.60

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Solution

The fourth proportional to 215,543.98, 323,316.58 and 75,302.60 is: 112,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,543.98 : 323,316.58 = 75,302.60 : x
  2. Step 2: Convert to fraction form
    215,543.98/323,316.58 = 75,302.60/x
  3. Step 3: Cross multiply
    215,543.98x = 323,316.58 × 75,302.60
  4. Step 4: Simplify right side
    215,543.98x = 24,346,579,097.11
  5. Step 5: Solve for x
    x = 24,346,579,097.11/215,543.98
  6. Step 6: Final answer
    x = 112,954.11

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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.