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Finding the Fourth Proportional to 151,287.90, 208,775.49 and 83,303.40

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Solution

The fourth proportional to 151,287.90, 208,775.49 and 83,303.40 is: 114,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,287.90 : 208,775.49 = 83,303.40 : x
  2. Step 2: Convert to fraction form
    151,287.90/208,775.49 = 83,303.40/x
  3. Step 3: Cross multiply
    151,287.90x = 208,775.49 × 83,303.40
  4. Step 4: Simplify right side
    151,287.90x = 17,391,708,153.67
  5. Step 5: Solve for x
    x = 17,391,708,153.67/151,287.90
  6. Step 6: Final answer
    x = 114,957.69

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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.