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Finding the Fourth Proportional to 127,409.68, 175,831.32 and 70,822

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Solution

The fourth proportional to 127,409.68, 175,831.32 and 70,822 is: 97,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,409.68 : 175,831.32 = 70,822 : x
  2. Step 2: Convert to fraction form
    127,409.68/175,831.32 = 70,822/x
  3. Step 3: Cross multiply
    127,409.68x = 175,831.32 × 70,822
  4. Step 4: Simplify right side
    127,409.68x = 12,452,725,745.04
  5. Step 5: Solve for x
    x = 12,452,725,745.04/127,409.68
  6. Step 6: Final answer
    x = 97,737.67

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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.