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Finding the Fourth Proportional to 65,128.40, 97,648.80 and 25,665.20

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Solution

The fourth proportional to 65,128.40, 97,648.80 and 25,665.20 is: 38,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.40 : 97,648.80 = 25,665.20 : x
  2. Step 2: Convert to fraction form
    65,128.40/97,648.80 = 25,665.20/x
  3. Step 3: Cross multiply
    65,128.40x = 97,648.80 × 25,665.20
  4. Step 4: Simplify right side
    65,128.40x = 2,506,175,981.76
  5. Step 5: Solve for x
    x = 2,506,175,981.76/65,128.40
  6. Step 6: Final answer
    x = 38,480.54

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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.