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Finding the Fourth Proportional to 81,312, 121,842.04 and 56,400.48

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Solution

The fourth proportional to 81,312, 121,842.04 and 56,400.48 is: 84,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,312 : 121,842.04 = 56,400.48 : x
  2. Step 2: Convert to fraction form
    81,312/121,842.04 = 56,400.48/x
  3. Step 3: Cross multiply
    81,312x = 121,842.04 × 56,400.48
  4. Step 4: Simplify right side
    81,312x = 6,871,949,540.18
  5. Step 5: Solve for x
    x = 6,871,949,540.18/81,312
  6. Step 6: Final answer
    x = 84,513.35

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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.