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Finding the Fourth Proportional to 156,916.86, 216,549.48 and 85,301.70

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Solution

The fourth proportional to 156,916.86, 216,549.48 and 85,301.70 is: 117,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916.86 : 216,549.48 = 85,301.70 : x
  2. Step 2: Convert to fraction form
    156,916.86/216,549.48 = 85,301.70/x
  3. Step 3: Cross multiply
    156,916.86x = 216,549.48 × 85,301.70
  4. Step 4: Simplify right side
    156,916.86x = 18,472,038,778.12
  5. Step 5: Solve for x
    x = 18,472,038,778.12/156,916.86
  6. Step 6: Final answer
    x = 117,718.64

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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.