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Finding the Fourth Proportional to 65,258, 90,048.40 and 38,394.60

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Solution

The fourth proportional to 65,258, 90,048.40 and 38,394.60 is: 52,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,258 : 90,048.40 = 38,394.60 : x
  2. Step 2: Convert to fraction form
    65,258/90,048.40 = 38,394.60/x
  3. Step 3: Cross multiply
    65,258x = 90,048.40 × 38,394.60
  4. Step 4: Simplify right side
    65,258x = 3,457,372,298.64
  5. Step 5: Solve for x
    x = 3,457,372,298.64/65,258
  6. Step 6: Final answer
    x = 52,980.05

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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.