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Finding the Fourth Proportional to 91,370, 137,075.16 and 38,824.40

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Solution

The fourth proportional to 91,370, 137,075.16 and 38,824.40 is: 58,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,370 : 137,075.16 = 38,824.40 : x
  2. Step 2: Convert to fraction form
    91,370/137,075.16 = 38,824.40/x
  3. Step 3: Cross multiply
    91,370x = 137,075.16 × 38,824.40
  4. Step 4: Simplify right side
    91,370x = 5,321,860,841.90
  5. Step 5: Solve for x
    x = 5,321,860,841.90/91,370
  6. Step 6: Final answer
    x = 58,245.17

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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.