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Finding the Fourth Proportional to 48,403, 72,536.40 and 38,498.32

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Solution

The fourth proportional to 48,403, 72,536.40 and 38,498.32 is: 57,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,403 : 72,536.40 = 38,498.32 : x
  2. Step 2: Convert to fraction form
    48,403/72,536.40 = 38,498.32/x
  3. Step 3: Cross multiply
    48,403x = 72,536.40 × 38,498.32
  4. Step 4: Simplify right side
    48,403x = 2,792,529,538.85
  5. Step 5: Solve for x
    x = 2,792,529,538.85/48,403
  6. Step 6: Final answer
    x = 57,693.32

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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.