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Finding the Fourth Proportional to 105,717.92, 145,894.94 and 57,972.98

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Solution

The fourth proportional to 105,717.92, 145,894.94 and 57,972.98 is: 80,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717.92 : 145,894.94 = 57,972.98 : x
  2. Step 2: Convert to fraction form
    105,717.92/145,894.94 = 57,972.98/x
  3. Step 3: Cross multiply
    105,717.92x = 145,894.94 × 57,972.98
  4. Step 4: Simplify right side
    105,717.92x = 8,457,963,419.38
  5. Step 5: Solve for x
    x = 8,457,963,419.38/105,717.92
  6. Step 6: Final answer
    x = 80,005.02

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1.5x scale

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.