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Finding the Fourth Proportional to 156,476.65, 215,935.89 and 84,855.84

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Solution

The fourth proportional to 156,476.65, 215,935.89 and 84,855.84 is: 117,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,476.65 : 215,935.89 = 84,855.84 : x
  2. Step 2: Convert to fraction form
    156,476.65/215,935.89 = 84,855.84/x
  3. Step 3: Cross multiply
    156,476.65x = 215,935.89 × 84,855.84
  4. Step 4: Simplify right side
    156,476.65x = 18,323,421,332.10
  5. Step 5: Solve for x
    x = 18,323,421,332.10/156,476.65
  6. Step 6: Final answer
    x = 117,100.04

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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.