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Finding the Fourth Proportional to 102,459.33, 153,664.19 and 52,513.72

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Solution

The fourth proportional to 102,459.33, 153,664.19 and 52,513.72 is: 78,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,459.33 : 153,664.19 = 52,513.72 : x
  2. Step 2: Convert to fraction form
    102,459.33/153,664.19 = 52,513.72/x
  3. Step 3: Cross multiply
    102,459.33x = 153,664.19 × 52,513.72
  4. Step 4: Simplify right side
    102,459.33x = 8,069,477,797.88
  5. Step 5: Solve for x
    x = 8,069,477,797.88/102,459.33
  6. Step 6: Final answer
    x = 78,757.86

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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.