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Finding the Fourth Proportional to 157,225.86, 216,976.32 and 85,608.90

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Solution

The fourth proportional to 157,225.86, 216,976.32 and 85,608.90 is: 118,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,225.86 : 216,976.32 = 85,608.90 : x
  2. Step 2: Convert to fraction form
    157,225.86/216,976.32 = 85,608.90/x
  3. Step 3: Cross multiply
    157,225.86x = 216,976.32 × 85,608.90
  4. Step 4: Simplify right side
    157,225.86x = 18,575,104,081.25
  5. Step 5: Solve for x
    x = 18,575,104,081.25/157,225.86
  6. Step 6: Final answer
    x = 118,142.80

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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.