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Finding the Fourth Proportional to 210,042.47, 315,064.69 and 52,270.92

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Solution

The fourth proportional to 210,042.47, 315,064.69 and 52,270.92 is: 78,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,042.47 : 315,064.69 = 52,270.92 : x
  2. Step 2: Convert to fraction form
    210,042.47/315,064.69 = 52,270.92/x
  3. Step 3: Cross multiply
    210,042.47x = 315,064.69 × 52,270.92
  4. Step 4: Simplify right side
    210,042.47x = 16,468,721,075.14
  5. Step 5: Solve for x
    x = 16,468,721,075.14/210,042.47
  6. Step 6: Final answer
    x = 78,406.63

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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.