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Finding the Fourth Proportional to 233,280, 349,971.84 and 85,536

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Solution

The fourth proportional to 233,280, 349,971.84 and 85,536 is: 128,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 349,971.84 = 85,536 : x
  2. Step 2: Convert to fraction form
    233,280/349,971.84 = 85,536/x
  3. Step 3: Cross multiply
    233,280x = 349,971.84 × 85,536
  4. Step 4: Simplify right side
    233,280x = 29,935,191,306.24
  5. Step 5: Solve for x
    x = 29,935,191,306.24/233,280
  6. Step 6: Final answer
    x = 128,323.01

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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.