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Finding the Fourth Proportional to 51,988.70, 77,983.05 and 46,448.30

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Solution

The fourth proportional to 51,988.70, 77,983.05 and 46,448.30 is: 69,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.70 : 77,983.05 = 46,448.30 : x
  2. Step 2: Convert to fraction form
    51,988.70/77,983.05 = 46,448.30/x
  3. Step 3: Cross multiply
    51,988.70x = 77,983.05 × 46,448.30
  4. Step 4: Simplify right side
    51,988.70x = 3,622,180,101.32
  5. Step 5: Solve for x
    x = 3,622,180,101.32/51,988.70
  6. Step 6: Final answer
    x = 69,672.45

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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.