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Finding the Fourth Proportional to 217,602.86, 300,214.96 and 142,195.10

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Solution

The fourth proportional to 217,602.86, 300,214.96 and 142,195.10 is: 196,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,602.86 : 300,214.96 = 142,195.10 : x
  2. Step 2: Convert to fraction form
    217,602.86/300,214.96 = 142,195.10/x
  3. Step 3: Cross multiply
    217,602.86x = 300,214.96 × 142,195.10
  4. Step 4: Simplify right side
    217,602.86x = 42,689,094,402.13
  5. Step 5: Solve for x
    x = 42,689,094,402.13/217,602.86
  6. Step 6: Final answer
    x = 196,178.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.