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Finding the Fourth Proportional to 142,952.92, 214,448.58 and 54,239.32

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Solution

The fourth proportional to 142,952.92, 214,448.58 and 54,239.32 is: 81,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.92 : 214,448.58 = 54,239.32 : x
  2. Step 2: Convert to fraction form
    142,952.92/214,448.58 = 54,239.32/x
  3. Step 3: Cross multiply
    142,952.92x = 214,448.58 × 54,239.32
  4. Step 4: Simplify right side
    142,952.92x = 11,631,545,154.17
  5. Step 5: Solve for x
    x = 11,631,545,154.17/142,952.92
  6. Step 6: Final answer
    x = 81,366.26

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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.