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Finding the Fourth Proportional to 143,585, 215,412.38 and 45,089

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Solution

The fourth proportional to 143,585, 215,412.38 and 45,089 is: 67,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,585 : 215,412.38 = 45,089 : x
  2. Step 2: Convert to fraction form
    143,585/215,412.38 = 45,089/x
  3. Step 3: Cross multiply
    143,585x = 215,412.38 × 45,089
  4. Step 4: Simplify right side
    143,585x = 9,712,728,801.82
  5. Step 5: Solve for x
    x = 9,712,728,801.82/143,585
  6. Step 6: Final answer
    x = 67,644.45

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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.