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Finding the Fourth Proportional to 100,316, 138,436.10 and 55,604

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Solution

The fourth proportional to 100,316, 138,436.10 and 55,604 is: 76,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,316 : 138,436.10 = 55,604 : x
  2. Step 2: Convert to fraction form
    100,316/138,436.10 = 55,604/x
  3. Step 3: Cross multiply
    100,316x = 138,436.10 × 55,604
  4. Step 4: Simplify right side
    100,316x = 7,697,600,904.40
  5. Step 5: Solve for x
    x = 7,697,600,904.40/100,316
  6. Step 6: Final answer
    x = 76,733.53

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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.