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Finding the Fourth Proportional to 153,651, 212,038.38 and 82,995

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Solution

The fourth proportional to 153,651, 212,038.38 and 82,995 is: 114,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,651 : 212,038.38 = 82,995 : x
  2. Step 2: Convert to fraction form
    153,651/212,038.38 = 82,995/x
  3. Step 3: Cross multiply
    153,651x = 212,038.38 × 82,995
  4. Step 4: Simplify right side
    153,651x = 17,598,125,348.10
  5. Step 5: Solve for x
    x = 17,598,125,348.10/153,651
  6. Step 6: Final answer
    x = 114,533.10

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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.