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Finding the Fourth Proportional to 142,572.80, 214,204.80 and 127,366.40

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Solution

The fourth proportional to 142,572.80, 214,204.80 and 127,366.40 is: 191,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.80 : 214,204.80 = 127,366.40 : x
  2. Step 2: Convert to fraction form
    142,572.80/214,204.80 = 127,366.40/x
  3. Step 3: Cross multiply
    142,572.80x = 214,204.80 × 127,366.40
  4. Step 4: Simplify right side
    142,572.80x = 27,282,494,238.72
  5. Step 5: Solve for x
    x = 27,282,494,238.72/142,572.80
  6. Step 6: Final answer
    x = 191,358.34

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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.