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Finding the Fourth Proportional to 156,786, 216,364.50 and 85,166.07

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Solution

The fourth proportional to 156,786, 216,364.50 and 85,166.07 is: 117,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 216,364.50 = 85,166.07 : x
  2. Step 2: Convert to fraction form
    156,786/216,364.50 = 85,166.07/x
  3. Step 3: Cross multiply
    156,786x = 216,364.50 × 85,166.07
  4. Step 4: Simplify right side
    156,786x = 18,426,914,152.52
  5. Step 5: Solve for x
    x = 18,426,914,152.52/156,786
  6. Step 6: Final answer
    x = 117,529.08

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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.