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Finding the Fourth Proportional to 51,643.80, 77,465.70 and 47,051.10

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Solution

The fourth proportional to 51,643.80, 77,465.70 and 47,051.10 is: 70,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.80 : 77,465.70 = 47,051.10 : x
  2. Step 2: Convert to fraction form
    51,643.80/77,465.70 = 47,051.10/x
  3. Step 3: Cross multiply
    51,643.80x = 77,465.70 × 47,051.10
  4. Step 4: Simplify right side
    51,643.80x = 3,644,846,397.27
  5. Step 5: Solve for x
    x = 3,644,846,397.27/51,643.80
  6. Step 6: Final answer
    x = 70,576.65

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1.5x scale

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.