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Finding the Fourth Proportional to 157,117.86, 216,823.37 and 85,497.39

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Solution

The fourth proportional to 157,117.86, 216,823.37 and 85,497.39 is: 117,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117.86 : 216,823.37 = 85,497.39 : x
  2. Step 2: Convert to fraction form
    157,117.86/216,823.37 = 85,497.39/x
  3. Step 3: Cross multiply
    157,117.86x = 216,823.37 × 85,497.39
  4. Step 4: Simplify right side
    157,117.86x = 18,537,831,798.52
  5. Step 5: Solve for x
    x = 18,537,831,798.52/157,117.86
  6. Step 6: Final answer
    x = 117,986.79

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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.