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Finding the Fourth Proportional to 105,711.92, 145,859.64 and 60,974

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Solution

The fourth proportional to 105,711.92, 145,859.64 and 60,974 is: 84,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.92 : 145,859.64 = 60,974 : x
  2. Step 2: Convert to fraction form
    105,711.92/145,859.64 = 60,974/x
  3. Step 3: Cross multiply
    105,711.92x = 145,859.64 × 60,974
  4. Step 4: Simplify right side
    105,711.92x = 8,893,645,689.36
  5. Step 5: Solve for x
    x = 8,893,645,689.36/105,711.92
  6. Step 6: Final answer
    x = 84,130.96

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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.