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Finding the Fourth Proportional to 210,743.93, 315,968.04 and 77,607.11

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Solution

The fourth proportional to 210,743.93, 315,968.04 and 77,607.11 is: 116,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,743.93 : 315,968.04 = 77,607.11 : x
  2. Step 2: Convert to fraction form
    210,743.93/315,968.04 = 77,607.11/x
  3. Step 3: Cross multiply
    210,743.93x = 315,968.04 × 77,607.11
  4. Step 4: Simplify right side
    210,743.93x = 24,521,367,226.68
  5. Step 5: Solve for x
    x = 24,521,367,226.68/210,743.93
  6. Step 6: Final answer
    x = 116,356.22

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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.