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Finding the Fourth Proportional to 146,639.72, 202,352.64 and 86,213

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Solution

The fourth proportional to 146,639.72, 202,352.64 and 86,213 is: 118,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,639.72 : 202,352.64 = 86,213 : x
  2. Step 2: Convert to fraction form
    146,639.72/202,352.64 = 86,213/x
  3. Step 3: Cross multiply
    146,639.72x = 202,352.64 × 86,213
  4. Step 4: Simplify right side
    146,639.72x = 17,445,428,152.32
  5. Step 5: Solve for x
    x = 17,445,428,152.32/146,639.72
  6. Step 6: Final answer
    x = 118,967.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.