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Finding the Fourth Proportional to 52,348, 78,536.40 and 15,412

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Solution

The fourth proportional to 52,348, 78,536.40 and 15,412 is: 23,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348 : 78,536.40 = 15,412 : x
  2. Step 2: Convert to fraction form
    52,348/78,536.40 = 15,412/x
  3. Step 3: Cross multiply
    52,348x = 78,536.40 × 15,412
  4. Step 4: Simplify right side
    52,348x = 1,210,402,996.80
  5. Step 5: Solve for x
    x = 1,210,402,996.80/52,348
  6. Step 6: Final answer
    x = 23,122.24

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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.