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Finding the Fourth Proportional to 229,312.10, 343,921.47 and 87,107.58

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Solution

The fourth proportional to 229,312.10, 343,921.47 and 87,107.58 is: 130,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,312.10 : 343,921.47 = 87,107.58 : x
  2. Step 2: Convert to fraction form
    229,312.10/343,921.47 = 87,107.58/x
  3. Step 3: Cross multiply
    229,312.10x = 343,921.47 × 87,107.58
  4. Step 4: Simplify right side
    229,312.10x = 29,958,166,961.74
  5. Step 5: Solve for x
    x = 29,958,166,961.74/229,312.10
  6. Step 6: Final answer
    x = 130,643.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.