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Finding the Fourth Proportional to 157,050.96, 216,728.10 and 85,431.48

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Solution

The fourth proportional to 157,050.96, 216,728.10 and 85,431.48 is: 117,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,050.96 : 216,728.10 = 85,431.48 : x
  2. Step 2: Convert to fraction form
    157,050.96/216,728.10 = 85,431.48/x
  3. Step 3: Cross multiply
    157,050.96x = 216,728.10 × 85,431.48
  4. Step 4: Simplify right side
    157,050.96x = 18,515,402,340.59
  5. Step 5: Solve for x
    x = 18,515,402,340.59/157,050.96
  6. Step 6: Final answer
    x = 117,894.23

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1.5x scale

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.