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Finding the Fourth Proportional to 199,784.34, 275,710.80 and 114,901.50

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Solution

The fourth proportional to 199,784.34, 275,710.80 and 114,901.50 is: 158,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.34 : 275,710.80 = 114,901.50 : x
  2. Step 2: Convert to fraction form
    199,784.34/275,710.80 = 114,901.50/x
  3. Step 3: Cross multiply
    199,784.34x = 275,710.80 × 114,901.50
  4. Step 4: Simplify right side
    199,784.34x = 31,679,584,486.20
  5. Step 5: Solve for x
    x = 31,679,584,486.20/199,784.34
  6. Step 6: Final answer
    x = 158,568.91

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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.