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Finding the Fourth Proportional to 100,370.07, 138,510.69 and 55,658.07

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Solution

The fourth proportional to 100,370.07, 138,510.69 and 55,658.07 is: 76,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,370.07 : 138,510.69 = 55,658.07 : x
  2. Step 2: Convert to fraction form
    100,370.07/138,510.69 = 55,658.07/x
  3. Step 3: Cross multiply
    100,370.07x = 138,510.69 × 55,658.07
  4. Step 4: Simplify right side
    100,370.07x = 7,709,237,679.77
  5. Step 5: Solve for x
    x = 7,709,237,679.77/100,370.07
  6. Step 6: Final answer
    x = 76,808.13

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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.