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Finding the Fourth Proportional to 145,054.34, 217,582.47 and 39,884.42

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Solution

The fourth proportional to 145,054.34, 217,582.47 and 39,884.42 is: 59,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,054.34 : 217,582.47 = 39,884.42 : x
  2. Step 2: Convert to fraction form
    145,054.34/217,582.47 = 39,884.42/x
  3. Step 3: Cross multiply
    145,054.34x = 217,582.47 × 39,884.42
  4. Step 4: Simplify right side
    145,054.34x = 8,678,150,618.12
  5. Step 5: Solve for x
    x = 8,678,150,618.12/145,054.34
  6. Step 6: Final answer
    x = 59,826.89

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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.