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Finding the Fourth Proportional to 153,883.09, 212,333.10 and 102,813.91

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Solution

The fourth proportional to 153,883.09, 212,333.10 and 102,813.91 is: 141,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.09 : 212,333.10 = 102,813.91 : x
  2. Step 2: Convert to fraction form
    153,883.09/212,333.10 = 102,813.91/x
  3. Step 3: Cross multiply
    153,883.09x = 212,333.10 × 102,813.91
  4. Step 4: Simplify right side
    153,883.09x = 21,830,795,317.04
  5. Step 5: Solve for x
    x = 21,830,795,317.04/153,883.09
  6. Step 6: Final answer
    x = 141,866.11

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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.