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Finding the Fourth Proportional to 156,930.18, 216,561.09 and 85,312

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Solution

The fourth proportional to 156,930.18, 216,561.09 and 85,312 is: 117,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930.18 : 216,561.09 = 85,312 : x
  2. Step 2: Convert to fraction form
    156,930.18/216,561.09 = 85,312/x
  3. Step 3: Cross multiply
    156,930.18x = 216,561.09 × 85,312
  4. Step 4: Simplify right side
    156,930.18x = 18,475,259,710.08
  5. Step 5: Solve for x
    x = 18,475,259,710.08/156,930.18
  6. Step 6: Final answer
    x = 117,729.17

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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.