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Finding the Fourth Proportional to 153,991, 212,507.58 and 83,335

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Solution

The fourth proportional to 153,991, 212,507.58 and 83,335 is: 115,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991 : 212,507.58 = 83,335 : x
  2. Step 2: Convert to fraction form
    153,991/212,507.58 = 83,335/x
  3. Step 3: Cross multiply
    153,991x = 212,507.58 × 83,335
  4. Step 4: Simplify right side
    153,991x = 17,709,319,179.30
  5. Step 5: Solve for x
    x = 17,709,319,179.30/153,991
  6. Step 6: Final answer
    x = 115,002.30

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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.