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Finding the Fourth Proportional to 157,120.86, 216,827.50 and 85,500.40

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Solution

The fourth proportional to 157,120.86, 216,827.50 and 85,500.40 is: 117,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120.86 : 216,827.50 = 85,500.40 : x
  2. Step 2: Convert to fraction form
    157,120.86/216,827.50 = 85,500.40/x
  3. Step 3: Cross multiply
    157,120.86x = 216,827.50 × 85,500.40
  4. Step 4: Simplify right side
    157,120.86x = 18,538,837,981
  5. Step 5: Solve for x
    x = 18,538,837,981/157,120.86
  6. Step 6: Final answer
    x = 117,990.94

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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.