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Finding the Fourth Proportional to 160,685.76, 221,646.30 and 103,399.86

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Solution

The fourth proportional to 160,685.76, 221,646.30 and 103,399.86 is: 142,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,685.76 : 221,646.30 = 103,399.86 : x
  2. Step 2: Convert to fraction form
    160,685.76/221,646.30 = 103,399.86/x
  3. Step 3: Cross multiply
    160,685.76x = 221,646.30 × 103,399.86
  4. Step 4: Simplify right side
    160,685.76x = 22,918,196,389.52
  5. Step 5: Solve for x
    x = 22,918,196,389.52/160,685.76
  6. Step 6: Final answer
    x = 142,627.43

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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.