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Finding the Fourth Proportional to 89,782.64, 134,713.63 and 47,077.87

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Solution

The fourth proportional to 89,782.64, 134,713.63 and 47,077.87 is: 70,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.64 : 134,713.63 = 47,077.87 : x
  2. Step 2: Convert to fraction form
    89,782.64/134,713.63 = 47,077.87/x
  3. Step 3: Cross multiply
    89,782.64x = 134,713.63 × 47,077.87
  4. Step 4: Simplify right side
    89,782.64x = 6,342,030,305.89
  5. Step 5: Solve for x
    x = 6,342,030,305.89/89,782.64
  6. Step 6: Final answer
    x = 70,637.60

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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.