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Finding the Fourth Proportional to 156,602.95, 216,204.87 and 102,980.44

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Solution

The fourth proportional to 156,602.95, 216,204.87 and 102,980.44 is: 142,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,602.95 : 216,204.87 = 102,980.44 : x
  2. Step 2: Convert to fraction form
    156,602.95/216,204.87 = 102,980.44/x
  3. Step 3: Cross multiply
    156,602.95x = 216,204.87 × 102,980.44
  4. Step 4: Simplify right side
    156,602.95x = 22,264,871,561.72
  5. Step 5: Solve for x
    x = 22,264,871,561.72/156,602.95
  6. Step 6: Final answer
    x = 142,174.03

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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.