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Finding the Fourth Proportional to 210,874.36, 316,108.34 and 77,681.82

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Solution

The fourth proportional to 210,874.36, 316,108.34 and 77,681.82 is: 116,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874.36 : 316,108.34 = 77,681.82 : x
  2. Step 2: Convert to fraction form
    210,874.36/316,108.34 = 77,681.82/x
  3. Step 3: Cross multiply
    210,874.36x = 316,108.34 × 77,681.82
  4. Step 4: Simplify right side
    210,874.36x = 24,555,871,168.38
  5. Step 5: Solve for x
    x = 24,555,871,168.38/210,874.36
  6. Step 6: Final answer
    x = 116,447.88

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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.