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Finding the Fourth Proportional to 142,781, 197,045.64 and 79,117.40

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Solution

The fourth proportional to 142,781, 197,045.64 and 79,117.40 is: 109,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781 : 197,045.64 = 79,117.40 : x
  2. Step 2: Convert to fraction form
    142,781/197,045.64 = 79,117.40/x
  3. Step 3: Cross multiply
    142,781x = 197,045.64 × 79,117.40
  4. Step 4: Simplify right side
    142,781x = 15,589,738,718.14
  5. Step 5: Solve for x
    x = 15,589,738,718.14/142,781
  6. Step 6: Final answer
    x = 109,186.37

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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.