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Finding the Fourth Proportional to 157,603.10, 217,491.98 and 85,983.17

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Solution

The fourth proportional to 157,603.10, 217,491.98 and 85,983.17 is: 118,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,603.10 : 217,491.98 = 85,983.17 : x
  2. Step 2: Convert to fraction form
    157,603.10/217,491.98 = 85,983.17/x
  3. Step 3: Cross multiply
    157,603.10x = 217,491.98 × 85,983.17
  4. Step 4: Simplify right side
    157,603.10x = 18,700,648,372.60
  5. Step 5: Solve for x
    x = 18,700,648,372.60/157,603.10
  6. Step 6: Final answer
    x = 118,656.61

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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.