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Finding the Fourth Proportional to 210,284.88, 315,239.76 and 77,134.08

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Solution

The fourth proportional to 210,284.88, 315,239.76 and 77,134.08 is: 115,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,284.88 : 315,239.76 = 77,134.08 : x
  2. Step 2: Convert to fraction form
    210,284.88/315,239.76 = 77,134.08/x
  3. Step 3: Cross multiply
    210,284.88x = 315,239.76 × 77,134.08
  4. Step 4: Simplify right side
    210,284.88x = 24,315,728,867.02
  5. Step 5: Solve for x
    x = 24,315,728,867.02/210,284.88
  6. Step 6: Final answer
    x = 115,632.32

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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.