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Finding the Fourth Proportional to 64,731.60, 97,113.60 and 51,454.80

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Solution

The fourth proportional to 64,731.60, 97,113.60 and 51,454.80 is: 77,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731.60 : 97,113.60 = 51,454.80 : x
  2. Step 2: Convert to fraction form
    64,731.60/97,113.60 = 51,454.80/x
  3. Step 3: Cross multiply
    64,731.60x = 97,113.60 × 51,454.80
  4. Step 4: Simplify right side
    64,731.60x = 4,996,960,865.28
  5. Step 5: Solve for x
    x = 4,996,960,865.28/64,731.60
  6. Step 6: Final answer
    x = 77,195.08

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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.