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Finding the Fourth Proportional to 210,903.78, 316,395.78 and 77,794.47

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Solution

The fourth proportional to 210,903.78, 316,395.78 and 77,794.47 is: 116,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.78 : 316,395.78 = 77,794.47 : x
  2. Step 2: Convert to fraction form
    210,903.78/316,395.78 = 77,794.47/x
  3. Step 3: Cross multiply
    210,903.78x = 316,395.78 × 77,794.47
  4. Step 4: Simplify right side
    210,903.78x = 24,613,842,015.34
  5. Step 5: Solve for x
    x = 24,613,842,015.34/210,903.78
  6. Step 6: Final answer
    x = 116,706.50

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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.