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Finding the Fourth Proportional to 289,167.60, 399,063.76 and 160,106.06

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Solution

The fourth proportional to 289,167.60, 399,063.76 and 160,106.06 is: 220,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,167.60 : 399,063.76 = 160,106.06 : x
  2. Step 2: Convert to fraction form
    289,167.60/399,063.76 = 160,106.06/x
  3. Step 3: Cross multiply
    289,167.60x = 399,063.76 × 160,106.06
  4. Step 4: Simplify right side
    289,167.60x = 63,892,526,302.39
  5. Step 5: Solve for x
    x = 63,892,526,302.39/289,167.60
  6. Step 6: Final answer
    x = 220,953.27

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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.