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Finding the Fourth Proportional to 127,355.80, 191,033.70 and 97,831.30

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Solution

The fourth proportional to 127,355.80, 191,033.70 and 97,831.30 is: 146,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,355.80 : 191,033.70 = 97,831.30 : x
  2. Step 2: Convert to fraction form
    127,355.80/191,033.70 = 97,831.30/x
  3. Step 3: Cross multiply
    127,355.80x = 191,033.70 × 97,831.30
  4. Step 4: Simplify right side
    127,355.80x = 18,689,075,214.81
  5. Step 5: Solve for x
    x = 18,689,075,214.81/127,355.80
  6. Step 6: Final answer
    x = 146,746.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.