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Finding the Fourth Proportional to 127,416, 175,825.76 and 70,825.28

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Solution

The fourth proportional to 127,416, 175,825.76 and 70,825.28 is: 97,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416 : 175,825.76 = 70,825.28 : x
  2. Step 2: Convert to fraction form
    127,416/175,825.76 = 70,825.28/x
  3. Step 3: Cross multiply
    127,416x = 175,825.76 × 70,825.28
  4. Step 4: Simplify right side
    127,416x = 12,452,908,683.21
  5. Step 5: Solve for x
    x = 12,452,908,683.21/127,416
  6. Step 6: Final answer
    x = 97,734.26

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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.