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Finding the Fourth Proportional to 157,140.45, 216,849.64 and 85,518.93

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Solution

The fourth proportional to 157,140.45, 216,849.64 and 85,518.93 is: 118,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.45 : 216,849.64 = 85,518.93 : x
  2. Step 2: Convert to fraction form
    157,140.45/216,849.64 = 85,518.93/x
  3. Step 3: Cross multiply
    157,140.45x = 216,849.64 × 85,518.93
  4. Step 4: Simplify right side
    157,140.45x = 18,544,749,183.69
  5. Step 5: Solve for x
    x = 18,544,749,183.69/157,140.45
  6. Step 6: Final answer
    x = 118,013.85

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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.