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Finding the Fourth Proportional to 65,013.60, 97,558.80 and 47,439.20

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Solution

The fourth proportional to 65,013.60, 97,558.80 and 47,439.20 is: 71,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.60 : 97,558.80 = 47,439.20 : x
  2. Step 2: Convert to fraction form
    65,013.60/97,558.80 = 47,439.20/x
  3. Step 3: Cross multiply
    65,013.60x = 97,558.80 × 47,439.20
  4. Step 4: Simplify right side
    65,013.60x = 4,628,111,424.96
  5. Step 5: Solve for x
    x = 4,628,111,424.96/65,013.60
  6. Step 6: Final answer
    x = 71,186.82

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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.