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Finding the Fourth Proportional to 106,702.60, 147,261 and 61,382.56

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Solution

The fourth proportional to 106,702.60, 147,261 and 61,382.56 is: 84,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702.60 : 147,261 = 61,382.56 : x
  2. Step 2: Convert to fraction form
    106,702.60/147,261 = 61,382.56/x
  3. Step 3: Cross multiply
    106,702.60x = 147,261 × 61,382.56
  4. Step 4: Simplify right side
    106,702.60x = 9,039,257,168.16
  5. Step 5: Solve for x
    x = 9,039,257,168.16/106,702.60
  6. Step 6: Final answer
    x = 84,714.50

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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.