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Finding the Fourth Proportional to 160,505.32, 221,437.86 and 103,947.88

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Solution

The fourth proportional to 160,505.32, 221,437.86 and 103,947.88 is: 143,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,505.32 : 221,437.86 = 103,947.88 : x
  2. Step 2: Convert to fraction form
    160,505.32/221,437.86 = 103,947.88/x
  3. Step 3: Cross multiply
    160,505.32x = 221,437.86 × 103,947.88
  4. Step 4: Simplify right side
    160,505.32x = 23,017,996,098.74
  5. Step 5: Solve for x
    x = 23,017,996,098.74/160,505.32
  6. Step 6: Final answer
    x = 143,409.55

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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.