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Finding the Fourth Proportional to 210,226.78, 315,152.66 and 77,076

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Solution

The fourth proportional to 210,226.78, 315,152.66 and 77,076 is: 115,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,226.78 : 315,152.66 = 77,076 : x
  2. Step 2: Convert to fraction form
    210,226.78/315,152.66 = 77,076/x
  3. Step 3: Cross multiply
    210,226.78x = 315,152.66 × 77,076
  4. Step 4: Simplify right side
    210,226.78x = 24,290,706,422.16
  5. Step 5: Solve for x
    x = 24,290,706,422.16/210,226.78
  6. Step 6: Final answer
    x = 115,545.25

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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.