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Finding the Fourth Proportional to 151,329.40, 208,836.02 and 83,347.92

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Solution

The fourth proportional to 151,329.40, 208,836.02 and 83,347.92 is: 115,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,329.40 : 208,836.02 = 83,347.92 : x
  2. Step 2: Convert to fraction form
    151,329.40/208,836.02 = 83,347.92/x
  3. Step 3: Cross multiply
    151,329.40x = 208,836.02 × 83,347.92
  4. Step 4: Simplify right side
    151,329.40x = 17,406,048,096.45
  5. Step 5: Solve for x
    x = 17,406,048,096.45/151,329.40
  6. Step 6: Final answer
    x = 115,020.93

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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.