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Finding the Fourth Proportional to 152,057, 209,838.62 and 83,146.64

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Solution

The fourth proportional to 152,057, 209,838.62 and 83,146.64 is: 114,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057 : 209,838.62 = 83,146.64 : x
  2. Step 2: Convert to fraction form
    152,057/209,838.62 = 83,146.64/x
  3. Step 3: Cross multiply
    152,057x = 209,838.62 × 83,146.64
  4. Step 4: Simplify right side
    152,057x = 17,447,376,195.24
  5. Step 5: Solve for x
    x = 17,447,376,195.24/152,057
  6. Step 6: Final answer
    x = 114,742.34

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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.