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Finding the Fourth Proportional to 156,986.64, 216,643.10 and 85,368.21

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Solution

The fourth proportional to 156,986.64, 216,643.10 and 85,368.21 is: 117,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986.64 : 216,643.10 = 85,368.21 : x
  2. Step 2: Convert to fraction form
    156,986.64/216,643.10 = 85,368.21/x
  3. Step 3: Cross multiply
    156,986.64x = 216,643.10 × 85,368.21
  4. Step 4: Simplify right side
    156,986.64x = 18,494,433,229.01
  5. Step 5: Solve for x
    x = 18,494,433,229.01/156,986.64
  6. Step 6: Final answer
    x = 117,808.96

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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.