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Finding the Fourth Proportional to 145,912.01, 218,966.50 and 57,154.51

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Solution

The fourth proportional to 145,912.01, 218,966.50 and 57,154.51 is: 85,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,912.01 : 218,966.50 = 57,154.51 : x
  2. Step 2: Convert to fraction form
    145,912.01/218,966.50 = 57,154.51/x
  3. Step 3: Cross multiply
    145,912.01x = 218,966.50 × 57,154.51
  4. Step 4: Simplify right side
    145,912.01x = 12,514,921,633.31
  5. Step 5: Solve for x
    x = 12,514,921,633.31/145,912.01
  6. Step 6: Final answer
    x = 85,770.33

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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.