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Finding the Fourth Proportional to 82,972.64, 124,411.44 and 56,709.92

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Solution

The fourth proportional to 82,972.64, 124,411.44 and 56,709.92 is: 85,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,972.64 : 124,411.44 = 56,709.92 : x
  2. Step 2: Convert to fraction form
    82,972.64/124,411.44 = 56,709.92/x
  3. Step 3: Cross multiply
    82,972.64x = 124,411.44 × 56,709.92
  4. Step 4: Simplify right side
    82,972.64x = 7,055,362,809.48
  5. Step 5: Solve for x
    x = 7,055,362,809.48/82,972.64
  6. Step 6: Final answer
    x = 85,032.40

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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.