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Finding the Fourth Proportional to 156,977.21, 216,628.02 and 85,357.40

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Solution

The fourth proportional to 156,977.21, 216,628.02 and 85,357.40 is: 117,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,977.21 : 216,628.02 = 85,357.40 : x
  2. Step 2: Convert to fraction form
    156,977.21/216,628.02 = 85,357.40/x
  3. Step 3: Cross multiply
    156,977.21x = 216,628.02 × 85,357.40
  4. Step 4: Simplify right side
    156,977.21x = 18,490,804,554.35
  5. Step 5: Solve for x
    x = 18,490,804,554.35/156,977.21
  6. Step 6: Final answer
    x = 117,792.92

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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.