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Finding the Fourth Proportional to 193,038.64, 289,477.77 and 74,641.75

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Solution

The fourth proportional to 193,038.64, 289,477.77 and 74,641.75 is: 111,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,038.64 : 289,477.77 = 74,641.75 : x
  2. Step 2: Convert to fraction form
    193,038.64/289,477.77 = 74,641.75/x
  3. Step 3: Cross multiply
    193,038.64x = 289,477.77 × 74,641.75
  4. Step 4: Simplify right side
    193,038.64x = 21,607,127,338.90
  5. Step 5: Solve for x
    x = 21,607,127,338.90/193,038.64
  6. Step 6: Final answer
    x = 111,931.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.