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Finding the Fourth Proportional to 100,368, 151,055.52 and 75,536.64

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Solution

The fourth proportional to 100,368, 151,055.52 and 75,536.64 is: 113,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,368 : 151,055.52 = 75,536.64 : x
  2. Step 2: Convert to fraction form
    100,368/151,055.52 = 75,536.64/x
  3. Step 3: Cross multiply
    100,368x = 151,055.52 × 75,536.64
  4. Step 4: Simplify right side
    100,368x = 11,410,226,434.25
  5. Step 5: Solve for x
    x = 11,410,226,434.25/100,368
  6. Step 6: Final answer
    x = 113,683.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.