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Finding the Fourth Proportional to 70,655.96, 105,985.70 and 20,730.80

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Solution

The fourth proportional to 70,655.96, 105,985.70 and 20,730.80 is: 31,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,655.96 : 105,985.70 = 20,730.80 : x
  2. Step 2: Convert to fraction form
    70,655.96/105,985.70 = 20,730.80/x
  3. Step 3: Cross multiply
    70,655.96x = 105,985.70 × 20,730.80
  4. Step 4: Simplify right side
    70,655.96x = 2,197,168,588.61
  5. Step 5: Solve for x
    x = 2,197,168,588.61/70,655.96
  6. Step 6: Final answer
    x = 31,096.72

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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.