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Finding the Fourth Proportional to 70,848.98, 106,287.49 and 20,248.46

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Solution

The fourth proportional to 70,848.98, 106,287.49 and 20,248.46 is: 30,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848.98 : 106,287.49 = 20,248.46 : x
  2. Step 2: Convert to fraction form
    70,848.98/106,287.49 = 20,248.46/x
  3. Step 3: Cross multiply
    70,848.98x = 106,287.49 × 20,248.46
  4. Step 4: Simplify right side
    70,848.98x = 2,152,157,989.77
  5. Step 5: Solve for x
    x = 2,152,157,989.77/70,848.98
  6. Step 6: Final answer
    x = 30,376.70

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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.