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Finding the Fourth Proportional to 156,715.41, 216,268.08 and 85,095.41

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Solution

The fourth proportional to 156,715.41, 216,268.08 and 85,095.41 is: 117,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,715.41 : 216,268.08 = 85,095.41 : x
  2. Step 2: Convert to fraction form
    156,715.41/216,268.08 = 85,095.41/x
  3. Step 3: Cross multiply
    156,715.41x = 216,268.08 × 85,095.41
  4. Step 4: Simplify right side
    156,715.41x = 18,403,420,937.51
  5. Step 5: Solve for x
    x = 18,403,420,937.51/156,715.41
  6. Step 6: Final answer
    x = 117,432.11

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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.