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Finding the Fourth Proportional to 127,970, 176,598.76 and 71,384.96

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Solution

The fourth proportional to 127,970, 176,598.76 and 71,384.96 is: 98,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970 : 176,598.76 = 71,384.96 : x
  2. Step 2: Convert to fraction form
    127,970/176,598.76 = 71,384.96/x
  3. Step 3: Cross multiply
    127,970x = 176,598.76 × 71,384.96
  4. Step 4: Simplify right side
    127,970x = 12,606,495,418.65
  5. Step 5: Solve for x
    x = 12,606,495,418.65/127,970
  6. Step 6: Final answer
    x = 98,511.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.