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Finding the Fourth Proportional to 142,652.02, 196,862.88 and 78,124

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Solution

The fourth proportional to 142,652.02, 196,862.88 and 78,124 is: 107,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.02 : 196,862.88 = 78,124 : x
  2. Step 2: Convert to fraction form
    142,652.02/196,862.88 = 78,124/x
  3. Step 3: Cross multiply
    142,652.02x = 196,862.88 × 78,124
  4. Step 4: Simplify right side
    142,652.02x = 15,379,715,637.12
  5. Step 5: Solve for x
    x = 15,379,715,637.12/142,652.02
  6. Step 6: Final answer
    x = 107,812.81

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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.