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Finding the Fourth Proportional to 70,730, 97,607.40 and 38,900.96

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Solution

The fourth proportional to 70,730, 97,607.40 and 38,900.96 is: 53,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,730 : 97,607.40 = 38,900.96 : x
  2. Step 2: Convert to fraction form
    70,730/97,607.40 = 38,900.96/x
  3. Step 3: Cross multiply
    70,730x = 97,607.40 × 38,900.96
  4. Step 4: Simplify right side
    70,730x = 3,797,021,563.10
  5. Step 5: Solve for x
    x = 3,797,021,563.10/70,730
  6. Step 6: Final answer
    x = 53,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.