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Finding the Fourth Proportional to 186,720.32, 280,187.04 and 68,376

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Solution

The fourth proportional to 186,720.32, 280,187.04 and 68,376 is: 102,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,720.32 : 280,187.04 = 68,376 : x
  2. Step 2: Convert to fraction form
    186,720.32/280,187.04 = 68,376/x
  3. Step 3: Cross multiply
    186,720.32x = 280,187.04 × 68,376
  4. Step 4: Simplify right side
    186,720.32x = 19,158,069,047.04
  5. Step 5: Solve for x
    x = 19,158,069,047.04/186,720.32
  6. Step 6: Final answer
    x = 102,603.02

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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.