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Finding the Fourth Proportional to 64,309.60, 96,529.20 and 31,056.40

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Solution

The fourth proportional to 64,309.60, 96,529.20 and 31,056.40 is: 46,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,309.60 : 96,529.20 = 31,056.40 : x
  2. Step 2: Convert to fraction form
    64,309.60/96,529.20 = 31,056.40/x
  3. Step 3: Cross multiply
    64,309.60x = 96,529.20 × 31,056.40
  4. Step 4: Simplify right side
    64,309.60x = 2,997,849,446.88
  5. Step 5: Solve for x
    x = 2,997,849,446.88/64,309.60
  6. Step 6: Final answer
    x = 46,615.89

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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.