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Finding the Fourth Proportional to 100,688.16, 138,944.91 and 55,368.05

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Solution

The fourth proportional to 100,688.16, 138,944.91 and 55,368.05 is: 76,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,688.16 : 138,944.91 = 55,368.05 : x
  2. Step 2: Convert to fraction form
    100,688.16/138,944.91 = 55,368.05/x
  3. Step 3: Cross multiply
    100,688.16x = 138,944.91 × 55,368.05
  4. Step 4: Simplify right side
    100,688.16x = 7,693,109,124.38
  5. Step 5: Solve for x
    x = 7,693,109,124.38/100,688.16
  6. Step 6: Final answer
    x = 76,405.30

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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.