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Finding the Fourth Proportional to 64,983.60, 97,475.40 and 28,047.60

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Solution

The fourth proportional to 64,983.60, 97,475.40 and 28,047.60 is: 42,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983.60 : 97,475.40 = 28,047.60 : x
  2. Step 2: Convert to fraction form
    64,983.60/97,475.40 = 28,047.60/x
  3. Step 3: Cross multiply
    64,983.60x = 97,475.40 × 28,047.60
  4. Step 4: Simplify right side
    64,983.60x = 2,733,951,029.04
  5. Step 5: Solve for x
    x = 2,733,951,029.04/64,983.60
  6. Step 6: Final answer
    x = 42,071.40

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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.