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Finding the Fourth Proportional to 187,400.16, 280,904.40 and 82,130.40

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Solution

The fourth proportional to 187,400.16, 280,904.40 and 82,130.40 is: 123,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,400.16 : 280,904.40 = 82,130.40 : x
  2. Step 2: Convert to fraction form
    187,400.16/280,904.40 = 82,130.40/x
  3. Step 3: Cross multiply
    187,400.16x = 280,904.40 × 82,130.40
  4. Step 4: Simplify right side
    187,400.16x = 23,070,790,733.76
  5. Step 5: Solve for x
    x = 23,070,790,733.76/187,400.16
  6. Step 6: Final answer
    x = 123,109.77

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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.