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Finding the Fourth Proportional to 70,702.16, 106,071.47 and 20,783.89

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Solution

The fourth proportional to 70,702.16, 106,071.47 and 20,783.89 is: 31,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702.16 : 106,071.47 = 20,783.89 : x
  2. Step 2: Convert to fraction form
    70,702.16/106,071.47 = 20,783.89/x
  3. Step 3: Cross multiply
    70,702.16x = 106,071.47 × 20,783.89
  4. Step 4: Simplify right side
    70,702.16x = 2,204,577,130.34
  5. Step 5: Solve for x
    x = 2,204,577,130.34/70,702.16
  6. Step 6: Final answer
    x = 31,181.18

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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.