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Finding the Fourth Proportional to 51,382, 77,088.54 and 36,418.06

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Solution

The fourth proportional to 51,382, 77,088.54 and 36,418.06 is: 54,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382 : 77,088.54 = 36,418.06 : x
  2. Step 2: Convert to fraction form
    51,382/77,088.54 = 36,418.06/x
  3. Step 3: Cross multiply
    51,382x = 77,088.54 × 36,418.06
  4. Step 4: Simplify right side
    51,382x = 2,807,415,075.03
  5. Step 5: Solve for x
    x = 2,807,415,075.03/51,382
  6. Step 6: Final answer
    x = 54,638.10

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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.