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Finding the Fourth Proportional to 99,138, 136,748.07 and 58,823.16

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Solution

The fourth proportional to 99,138, 136,748.07 and 58,823.16 is: 81,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138 : 136,748.07 = 58,823.16 : x
  2. Step 2: Convert to fraction form
    99,138/136,748.07 = 58,823.16/x
  3. Step 3: Cross multiply
    99,138x = 136,748.07 × 58,823.16
  4. Step 4: Simplify right side
    99,138x = 8,043,953,601.30
  5. Step 5: Solve for x
    x = 8,043,953,601.30/99,138
  6. Step 6: Final answer
    x = 81,138.95

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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.