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Finding the Fourth Proportional to 145,407.88, 218,017.86 and 69,475.24

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Solution

The fourth proportional to 145,407.88, 218,017.86 and 69,475.24 is: 104,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,407.88 : 218,017.86 = 69,475.24 : x
  2. Step 2: Convert to fraction form
    145,407.88/218,017.86 = 69,475.24/x
  3. Step 3: Cross multiply
    145,407.88x = 218,017.86 × 69,475.24
  4. Step 4: Simplify right side
    145,407.88x = 15,146,843,147.79
  5. Step 5: Solve for x
    x = 15,146,843,147.79/145,407.88
  6. Step 6: Final answer
    x = 104,167.97

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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.