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Finding the Fourth Proportional to 65,783.36, 90,670.48 and 49,862.72

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Solution

The fourth proportional to 65,783.36, 90,670.48 and 49,862.72 is: 68,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.36 : 90,670.48 = 49,862.72 : x
  2. Step 2: Convert to fraction form
    65,783.36/90,670.48 = 49,862.72/x
  3. Step 3: Cross multiply
    65,783.36x = 90,670.48 × 49,862.72
  4. Step 4: Simplify right side
    65,783.36x = 4,521,076,756.51
  5. Step 5: Solve for x
    x = 4,521,076,756.51/65,783.36
  6. Step 6: Final answer
    x = 68,726.75

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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.