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Finding the Fourth Proportional to 156,798.57, 216,373.84 and 85,178.37

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Solution

The fourth proportional to 156,798.57, 216,373.84 and 85,178.37 is: 117,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798.57 : 216,373.84 = 85,178.37 : x
  2. Step 2: Convert to fraction form
    156,798.57/216,373.84 = 85,178.37/x
  3. Step 3: Cross multiply
    156,798.57x = 216,373.84 × 85,178.37
  4. Step 4: Simplify right side
    156,798.57x = 18,430,371,001.84
  5. Step 5: Solve for x
    x = 18,430,371,001.84/156,798.57
  6. Step 6: Final answer
    x = 117,541.70

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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.