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Finding the Fourth Proportional to 157,064.52, 216,749.34 and 85,444.86

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Solution

The fourth proportional to 157,064.52, 216,749.34 and 85,444.86 is: 117,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,064.52 : 216,749.34 = 85,444.86 : x
  2. Step 2: Convert to fraction form
    157,064.52/216,749.34 = 85,444.86/x
  3. Step 3: Cross multiply
    157,064.52x = 216,749.34 × 85,444.86
  4. Step 4: Simplify right side
    157,064.52x = 18,520,117,011.39
  5. Step 5: Solve for x
    x = 18,520,117,011.39/157,064.52
  6. Step 6: Final answer
    x = 117,914.07

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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.