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Finding the Fourth Proportional to 100,365.92, 138,509.28 and 57,924.32

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Solution

The fourth proportional to 100,365.92, 138,509.28 and 57,924.32 is: 79,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.92 : 138,509.28 = 57,924.32 : x
  2. Step 2: Convert to fraction form
    100,365.92/138,509.28 = 57,924.32/x
  3. Step 3: Cross multiply
    100,365.92x = 138,509.28 × 57,924.32
  4. Step 4: Simplify right side
    100,365.92x = 8,023,055,857.69
  5. Step 5: Solve for x
    x = 8,023,055,857.69/100,365.92
  6. Step 6: Final answer
    x = 79,938.05

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1.5x scale

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.