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Finding the Fourth Proportional to 145,458, 200,734.47 and 95,157

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Solution

The fourth proportional to 145,458, 200,734.47 and 95,157 is: 131,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,458 : 200,734.47 = 95,157 : x
  2. Step 2: Convert to fraction form
    145,458/200,734.47 = 95,157/x
  3. Step 3: Cross multiply
    145,458x = 200,734.47 × 95,157
  4. Step 4: Simplify right side
    145,458x = 19,101,289,961.79
  5. Step 5: Solve for x
    x = 19,101,289,961.79/145,458
  6. Step 6: Final answer
    x = 131,318.25

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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.