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Finding the Fourth Proportional to 70,488, 97,264.48 and 38,648.52

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Solution

The fourth proportional to 70,488, 97,264.48 and 38,648.52 is: 53,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 97,264.48 = 38,648.52 : x
  2. Step 2: Convert to fraction form
    70,488/97,264.48 = 38,648.52/x
  3. Step 3: Cross multiply
    70,488x = 97,264.48 × 38,648.52
  4. Step 4: Simplify right side
    70,488x = 3,759,128,200.57
  5. Step 5: Solve for x
    x = 3,759,128,200.57/70,488
  6. Step 6: Final answer
    x = 53,330.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.