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Finding the Fourth Proportional to 157,236.86, 216,985.95 and 85,616.71

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Solution

The fourth proportional to 157,236.86, 216,985.95 and 85,616.71 is: 118,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,236.86 : 216,985.95 = 85,616.71 : x
  2. Step 2: Convert to fraction form
    157,236.86/216,985.95 = 85,616.71/x
  3. Step 3: Cross multiply
    157,236.86x = 216,985.95 × 85,616.71
  4. Step 4: Simplify right side
    157,236.86x = 18,577,623,426.46
  5. Step 5: Solve for x
    x = 18,577,623,426.46/157,236.86
  6. Step 6: Final answer
    x = 118,150.56

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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.