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Finding the Fourth Proportional to 109,702.76, 151,308.81 and 75,721.64

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Solution

The fourth proportional to 109,702.76, 151,308.81 and 75,721.64 is: 104,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,702.76 : 151,308.81 = 75,721.64 : x
  2. Step 2: Convert to fraction form
    109,702.76/151,308.81 = 75,721.64/x
  3. Step 3: Cross multiply
    109,702.76x = 151,308.81 × 75,721.64
  4. Step 4: Simplify right side
    109,702.76x = 11,457,350,483.10
  5. Step 5: Solve for x
    x = 11,457,350,483.10/109,702.76
  6. Step 6: Final answer
    x = 104,439.95

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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.