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Finding the Fourth Proportional to 142,018.35, 195,981.02 and 77,488.82

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Solution

The fourth proportional to 142,018.35, 195,981.02 and 77,488.82 is: 106,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,018.35 : 195,981.02 = 77,488.82 : x
  2. Step 2: Convert to fraction form
    142,018.35/195,981.02 = 77,488.82/x
  3. Step 3: Cross multiply
    142,018.35x = 195,981.02 × 77,488.82
  4. Step 4: Simplify right side
    142,018.35x = 15,186,337,640.36
  5. Step 5: Solve for x
    x = 15,186,337,640.36/142,018.35
  6. Step 6: Final answer
    x = 106,932.22

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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.