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Finding the Fourth Proportional to 127,296.16, 175,674 and 70,708

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Solution

The fourth proportional to 127,296.16, 175,674 and 70,708 is: 97,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,296.16 : 175,674 = 70,708 : x
  2. Step 2: Convert to fraction form
    127,296.16/175,674 = 70,708/x
  3. Step 3: Cross multiply
    127,296.16x = 175,674 × 70,708
  4. Step 4: Simplify right side
    127,296.16x = 12,421,557,192
  5. Step 5: Solve for x
    x = 12,421,557,192/127,296.16
  6. Step 6: Final answer
    x = 97,579.98

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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.