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Finding the Fourth Proportional to 77,498.81, 106,998.77 and 47,301.64

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Solution

The fourth proportional to 77,498.81, 106,998.77 and 47,301.64 is: 65,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.81 : 106,998.77 = 47,301.64 : x
  2. Step 2: Convert to fraction form
    77,498.81/106,998.77 = 47,301.64/x
  3. Step 3: Cross multiply
    77,498.81x = 106,998.77 × 47,301.64
  4. Step 4: Simplify right side
    77,498.81x = 5,061,217,149.74
  5. Step 5: Solve for x
    x = 5,061,217,149.74/77,498.81
  6. Step 6: Final answer
    x = 65,307.03

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1.5x scale

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.