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Finding the Fourth Proportional to 64,430.40, 96,512.64 and 47,809.28

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Solution

The fourth proportional to 64,430.40, 96,512.64 and 47,809.28 is: 71,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,430.40 : 96,512.64 = 47,809.28 : x
  2. Step 2: Convert to fraction form
    64,430.40/96,512.64 = 47,809.28/x
  3. Step 3: Cross multiply
    64,430.40x = 96,512.64 × 47,809.28
  4. Step 4: Simplify right side
    64,430.40x = 4,614,199,829.30
  5. Step 5: Solve for x
    x = 4,614,199,829.30/64,430.40
  6. Step 6: Final answer
    x = 71,615.26

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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.