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Finding the Fourth Proportional to 233,289, 349,985.34 and 85,545

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Solution

The fourth proportional to 233,289, 349,985.34 and 85,545 is: 128,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 349,985.34 = 85,545 : x
  2. Step 2: Convert to fraction form
    233,289/349,985.34 = 85,545/x
  3. Step 3: Cross multiply
    233,289x = 349,985.34 × 85,545
  4. Step 4: Simplify right side
    233,289x = 29,939,495,910.30
  5. Step 5: Solve for x
    x = 29,939,495,910.30/233,289
  6. Step 6: Final answer
    x = 128,336.51

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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.