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Finding the Fourth Proportional to 142,745.10, 214,117.65 and 129,623.10

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Solution

The fourth proportional to 142,745.10, 214,117.65 and 129,623.10 is: 194,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.10 : 214,117.65 = 129,623.10 : x
  2. Step 2: Convert to fraction form
    142,745.10/214,117.65 = 129,623.10/x
  3. Step 3: Cross multiply
    142,745.10x = 214,117.65 × 129,623.10
  4. Step 4: Simplify right side
    142,745.10x = 27,754,593,557.72
  5. Step 5: Solve for x
    x = 27,754,593,557.72/142,745.10
  6. Step 6: Final answer
    x = 194,434.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.