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Finding the Fourth Proportional to 210,905.70, 316,386.30 and 77,879.40

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Solution

The fourth proportional to 210,905.70, 316,386.30 and 77,879.40 is: 116,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,905.70 : 316,386.30 = 77,879.40 : x
  2. Step 2: Convert to fraction form
    210,905.70/316,386.30 = 77,879.40/x
  3. Step 3: Cross multiply
    210,905.70x = 316,386.30 × 77,879.40
  4. Step 4: Simplify right side
    210,905.70x = 24,639,975,212.22
  5. Step 5: Solve for x
    x = 24,639,975,212.22/210,905.70
  6. Step 6: Final answer
    x = 116,829.35

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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.