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Finding the Fourth Proportional to 146,402.56, 219,720.48 and 57,678.40

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Solution

The fourth proportional to 146,402.56, 219,720.48 and 57,678.40 is: 86,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,402.56 : 219,720.48 = 57,678.40 : x
  2. Step 2: Convert to fraction form
    146,402.56/219,720.48 = 57,678.40/x
  3. Step 3: Cross multiply
    146,402.56x = 219,720.48 × 57,678.40
  4. Step 4: Simplify right side
    146,402.56x = 12,673,125,733.63
  5. Step 5: Solve for x
    x = 12,673,125,733.63/146,402.56
  6. Step 6: Final answer
    x = 86,563.55

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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.