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Finding the Fourth Proportional to 160,836, 221,953.86 and 93,780.96

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Solution

The fourth proportional to 160,836, 221,953.86 and 93,780.96 is: 129,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,836 : 221,953.86 = 93,780.96 : x
  2. Step 2: Convert to fraction form
    160,836/221,953.86 = 93,780.96/x
  3. Step 3: Cross multiply
    160,836x = 221,953.86 × 93,780.96
  4. Step 4: Simplify right side
    160,836x = 20,815,046,066.51
  5. Step 5: Solve for x
    x = 20,815,046,066.51/160,836
  6. Step 6: Final answer
    x = 129,417.83

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1.5x scale

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.