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Finding the Fourth Proportional to 151,021.55, 208,410.51 and 83,042.90

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Solution

The fourth proportional to 151,021.55, 208,410.51 and 83,042.90 is: 114,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,021.55 : 208,410.51 = 83,042.90 : x
  2. Step 2: Convert to fraction form
    151,021.55/208,410.51 = 83,042.90/x
  3. Step 3: Cross multiply
    151,021.55x = 208,410.51 × 83,042.90
  4. Step 4: Simplify right side
    151,021.55x = 17,307,013,661.91
  5. Step 5: Solve for x
    x = 17,307,013,661.91/151,021.55
  6. Step 6: Final answer
    x = 114,599.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.