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Finding the Fourth Proportional to 48,870.64, 67,430.28 and 27,645.28

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Solution

The fourth proportional to 48,870.64, 67,430.28 and 27,645.28 is: 38,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,870.64 : 67,430.28 = 27,645.28 : x
  2. Step 2: Convert to fraction form
    48,870.64/67,430.28 = 27,645.28/x
  3. Step 3: Cross multiply
    48,870.64x = 67,430.28 × 27,645.28
  4. Step 4: Simplify right side
    48,870.64x = 1,864,128,971.08
  5. Step 5: Solve for x
    x = 1,864,128,971.08/48,870.64
  6. Step 6: Final answer
    x = 38,144.15

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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.