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Finding the Fourth Proportional to 70,256, 105,384.08 and 28,702.96

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Solution

The fourth proportional to 70,256, 105,384.08 and 28,702.96 is: 43,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,256 : 105,384.08 = 28,702.96 : x
  2. Step 2: Convert to fraction form
    70,256/105,384.08 = 28,702.96/x
  3. Step 3: Cross multiply
    70,256x = 105,384.08 × 28,702.96
  4. Step 4: Simplify right side
    70,256x = 3,024,835,032.88
  5. Step 5: Solve for x
    x = 3,024,835,032.88/70,256
  6. Step 6: Final answer
    x = 43,054.47

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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.