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Finding the Fourth Proportional to 160,426.63, 221,291.90 and 103,046.64

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Solution

The fourth proportional to 160,426.63, 221,291.90 and 103,046.64 is: 142,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,426.63 : 221,291.90 = 103,046.64 : x
  2. Step 2: Convert to fraction form
    160,426.63/221,291.90 = 103,046.64/x
  3. Step 3: Cross multiply
    160,426.63x = 221,291.90 × 103,046.64
  4. Step 4: Simplify right side
    160,426.63x = 22,803,385,132.52
  5. Step 5: Solve for x
    x = 22,803,385,132.52/160,426.63
  6. Step 6: Final answer
    x = 142,142.14

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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.