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Finding the Fourth Proportional to 106,820, 147,409.16 and 59,073.76

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Solution

The fourth proportional to 106,820, 147,409.16 and 59,073.76 is: 81,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 147,409.16 = 59,073.76 : x
  2. Step 2: Convert to fraction form
    106,820/147,409.16 = 59,073.76/x
  3. Step 3: Cross multiply
    106,820x = 147,409.16 × 59,073.76
  4. Step 4: Simplify right side
    106,820x = 8,708,013,339.64
  5. Step 5: Solve for x
    x = 8,708,013,339.64/106,820
  6. Step 6: Final answer
    x = 81,520.44

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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.