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Finding the Fourth Proportional to 52,288, 78,435.03 and 19,007.93

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Solution

The fourth proportional to 52,288, 78,435.03 and 19,007.93 is: 28,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288 : 78,435.03 = 19,007.93 : x
  2. Step 2: Convert to fraction form
    52,288/78,435.03 = 19,007.93/x
  3. Step 3: Cross multiply
    52,288x = 78,435.03 × 19,007.93
  4. Step 4: Simplify right side
    52,288x = 1,490,887,559.79
  5. Step 5: Solve for x
    x = 1,490,887,559.79/52,288
  6. Step 6: Final answer
    x = 28,513.00

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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.