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Finding the Fourth Proportional to 127,098.42, 175,395.29 and 70,509.80

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Solution

The fourth proportional to 127,098.42, 175,395.29 and 70,509.80 is: 97,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098.42 : 175,395.29 = 70,509.80 : x
  2. Step 2: Convert to fraction form
    127,098.42/175,395.29 = 70,509.80/x
  3. Step 3: Cross multiply
    127,098.42x = 175,395.29 × 70,509.80
  4. Step 4: Simplify right side
    127,098.42x = 12,367,085,589.32
  5. Step 5: Solve for x
    x = 12,367,085,589.32/127,098.42
  6. Step 6: Final answer
    x = 97,303.22

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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.