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Finding the Fourth Proportional to 156,946.86, 216,588.03 and 85,326.93

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Solution

The fourth proportional to 156,946.86, 216,588.03 and 85,326.93 is: 117,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946.86 : 216,588.03 = 85,326.93 : x
  2. Step 2: Convert to fraction form
    156,946.86/216,588.03 = 85,326.93/x
  3. Step 3: Cross multiply
    156,946.86x = 216,588.03 × 85,326.93
  4. Step 4: Simplify right side
    156,946.86x = 18,480,791,674.65
  5. Step 5: Solve for x
    x = 18,480,791,674.65/156,946.86
  6. Step 6: Final answer
    x = 117,751.90

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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.