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Finding the Fourth Proportional to 160,384, 221,329.92 and 93,360.64

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Solution

The fourth proportional to 160,384, 221,329.92 and 93,360.64 is: 128,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,384 : 221,329.92 = 93,360.64 : x
  2. Step 2: Convert to fraction form
    160,384/221,329.92 = 93,360.64/x
  3. Step 3: Cross multiply
    160,384x = 221,329.92 × 93,360.64
  4. Step 4: Simplify right side
    160,384x = 20,663,502,982.35
  5. Step 5: Solve for x
    x = 20,663,502,982.35/160,384
  6. Step 6: Final answer
    x = 128,837.68

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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.