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Finding the Fourth Proportional to 70,872.58, 106,312.74 and 28,746.40

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Solution

The fourth proportional to 70,872.58, 106,312.74 and 28,746.40 is: 43,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.58 : 106,312.74 = 28,746.40 : x
  2. Step 2: Convert to fraction form
    70,872.58/106,312.74 = 28,746.40/x
  3. Step 3: Cross multiply
    70,872.58x = 106,312.74 × 28,746.40
  4. Step 4: Simplify right side
    70,872.58x = 3,056,108,549.14
  5. Step 5: Solve for x
    x = 3,056,108,549.14/70,872.58
  6. Step 6: Final answer
    x = 43,121.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.