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Finding the Fourth Proportional to 77,513.02, 106,965.12 and 47,348.82

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Solution

The fourth proportional to 77,513.02, 106,965.12 and 47,348.82 is: 65,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,513.02 : 106,965.12 = 47,348.82 : x
  2. Step 2: Convert to fraction form
    77,513.02/106,965.12 = 47,348.82/x
  3. Step 3: Cross multiply
    77,513.02x = 106,965.12 × 47,348.82
  4. Step 4: Simplify right side
    77,513.02x = 5,064,672,390.72
  5. Step 5: Solve for x
    x = 5,064,672,390.72/77,513.02
  6. Step 6: Final answer
    x = 65,339.64

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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.