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Finding the Fourth Proportional to 142,073.51, 196,060.11 and 78,409.94

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Solution

The fourth proportional to 142,073.51, 196,060.11 and 78,409.94 is: 108,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.51 : 196,060.11 = 78,409.94 : x
  2. Step 2: Convert to fraction form
    142,073.51/196,060.11 = 78,409.94/x
  3. Step 3: Cross multiply
    142,073.51x = 196,060.11 × 78,409.94
  4. Step 4: Simplify right side
    142,073.51x = 15,373,061,461.49
  5. Step 5: Solve for x
    x = 15,373,061,461.49/142,073.51
  6. Step 6: Final answer
    x = 108,204.98

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1.5x scale

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.