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Finding the Fourth Proportional to 142,759.76, 214,448.64 and 92,814.17

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Solution

The fourth proportional to 142,759.76, 214,448.64 and 92,814.17 is: 139,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,759.76 : 214,448.64 = 92,814.17 : x
  2. Step 2: Convert to fraction form
    142,759.76/214,448.64 = 92,814.17/x
  3. Step 3: Cross multiply
    142,759.76x = 214,448.64 × 92,814.17
  4. Step 4: Simplify right side
    142,759.76x = 19,903,872,529.23
  5. Step 5: Solve for x
    x = 19,903,872,529.23/142,759.76
  6. Step 6: Final answer
    x = 139,422.15

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1.5x scale

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.