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Finding the Fourth Proportional to 210,781.32, 316,296.72 and 77,755.08

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Solution

The fourth proportional to 210,781.32, 316,296.72 and 77,755.08 is: 116,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,781.32 : 316,296.72 = 77,755.08 : x
  2. Step 2: Convert to fraction form
    210,781.32/316,296.72 = 77,755.08/x
  3. Step 3: Cross multiply
    210,781.32x = 316,296.72 × 77,755.08
  4. Step 4: Simplify right side
    210,781.32x = 24,593,676,767.34
  5. Step 5: Solve for x
    x = 24,593,676,767.34/210,781.32
  6. Step 6: Final answer
    x = 116,678.64

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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.