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Finding the Fourth Proportional to 208,003.70, 312,005.55 and 83,434.10

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Solution

The fourth proportional to 208,003.70, 312,005.55 and 83,434.10 is: 125,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,003.70 : 312,005.55 = 83,434.10 : x
  2. Step 2: Convert to fraction form
    208,003.70/312,005.55 = 83,434.10/x
  3. Step 3: Cross multiply
    208,003.70x = 312,005.55 × 83,434.10
  4. Step 4: Simplify right side
    208,003.70x = 26,031,902,259.26
  5. Step 5: Solve for x
    x = 26,031,902,259.26/208,003.70
  6. Step 6: Final answer
    x = 125,151.15

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1.5x scale

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.