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Finding the Fourth Proportional to 153,972, 212,482 and 83,316

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Solution

The fourth proportional to 153,972, 212,482 and 83,316 is: 114,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,972 : 212,482 = 83,316 : x
  2. Step 2: Convert to fraction form
    153,972/212,482 = 83,316/x
  3. Step 3: Cross multiply
    153,972x = 212,482 × 83,316
  4. Step 4: Simplify right side
    153,972x = 17,703,150,312
  5. Step 5: Solve for x
    x = 17,703,150,312/153,972
  6. Step 6: Final answer
    x = 114,976.43

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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.