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Finding the Fourth Proportional to 127,300, 175,674 and 70,716.64

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Solution

The fourth proportional to 127,300, 175,674 and 70,716.64 is: 97,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,300 : 175,674 = 70,716.64 : x
  2. Step 2: Convert to fraction form
    127,300/175,674 = 70,716.64/x
  3. Step 3: Cross multiply
    127,300x = 175,674 × 70,716.64
  4. Step 4: Simplify right side
    127,300x = 12,423,075,015.36
  5. Step 5: Solve for x
    x = 12,423,075,015.36/127,300
  6. Step 6: Final answer
    x = 97,588.96

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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.