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Finding the Fourth Proportional to 105,702.92, 145,785.32 and 92,928.96

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Solution

The fourth proportional to 105,702.92, 145,785.32 and 92,928.96 is: 128,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.92 : 145,785.32 = 92,928.96 : x
  2. Step 2: Convert to fraction form
    105,702.92/145,785.32 = 92,928.96/x
  3. Step 3: Cross multiply
    105,702.92x = 145,785.32 × 92,928.96
  4. Step 4: Simplify right side
    105,702.92x = 13,547,678,170.87
  5. Step 5: Solve for x
    x = 13,547,678,170.87/105,702.92
  6. Step 6: Final answer
    x = 128,167.49

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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.