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Finding the Fourth Proportional to 123,653.92, 170,472.72 and 82,802.08

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Solution

The fourth proportional to 123,653.92, 170,472.72 and 82,802.08 is: 114,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,653.92 : 170,472.72 = 82,802.08 : x
  2. Step 2: Convert to fraction form
    123,653.92/170,472.72 = 82,802.08/x
  3. Step 3: Cross multiply
    123,653.92x = 170,472.72 × 82,802.08
  4. Step 4: Simplify right side
    123,653.92x = 14,115,495,799.26
  5. Step 5: Solve for x
    x = 14,115,495,799.26/123,653.92
  6. Step 6: Final answer
    x = 114,153.24

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1.5x scale

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.