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Finding the Fourth Proportional to 210,628.78, 315,985.52 and 77,509.74

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Solution

The fourth proportional to 210,628.78, 315,985.52 and 77,509.74 is: 116,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,628.78 : 315,985.52 = 77,509.74 : x
  2. Step 2: Convert to fraction form
    210,628.78/315,985.52 = 77,509.74/x
  3. Step 3: Cross multiply
    210,628.78x = 315,985.52 × 77,509.74
  4. Step 4: Simplify right side
    210,628.78x = 24,491,955,498.96
  5. Step 5: Solve for x
    x = 24,491,955,498.96/210,628.78
  6. Step 6: Final answer
    x = 116,280.19

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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.