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Finding the Fourth Proportional to 160,434.74, 221,423.10 and 92,438.68

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Solution

The fourth proportional to 160,434.74, 221,423.10 and 92,438.68 is: 127,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434.74 : 221,423.10 = 92,438.68 : x
  2. Step 2: Convert to fraction form
    160,434.74/221,423.10 = 92,438.68/x
  3. Step 3: Cross multiply
    160,434.74x = 221,423.10 × 92,438.68
  4. Step 4: Simplify right side
    160,434.74x = 20,468,059,085.51
  5. Step 5: Solve for x
    x = 20,468,059,085.51/160,434.74
  6. Step 6: Final answer
    x = 127,578.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.