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Finding the Fourth Proportional to 52,394, 78,605.40 and 15,458

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Solution

The fourth proportional to 52,394, 78,605.40 and 15,458 is: 23,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,394 : 78,605.40 = 15,458 : x
  2. Step 2: Convert to fraction form
    52,394/78,605.40 = 15,458/x
  3. Step 3: Cross multiply
    52,394x = 78,605.40 × 15,458
  4. Step 4: Simplify right side
    52,394x = 1,215,082,273.20
  5. Step 5: Solve for x
    x = 1,215,082,273.20/52,394
  6. Step 6: Final answer
    x = 23,191.25

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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.