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Finding the Fourth Proportional to 64,308.40, 96,430.20 and 38,021.20

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Solution

The fourth proportional to 64,308.40, 96,430.20 and 38,021.20 is: 57,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308.40 : 96,430.20 = 38,021.20 : x
  2. Step 2: Convert to fraction form
    64,308.40/96,430.20 = 38,021.20/x
  3. Step 3: Cross multiply
    64,308.40x = 96,430.20 × 38,021.20
  4. Step 4: Simplify right side
    64,308.40x = 3,666,391,920.24
  5. Step 5: Solve for x
    x = 3,666,391,920.24/64,308.40
  6. Step 6: Final answer
    x = 57,012.64

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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.