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Finding the Fourth Proportional to 91,899.40, 137,978.70 and 56,907.40

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Solution

The fourth proportional to 91,899.40, 137,978.70 and 56,907.40 is: 85,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,899.40 : 137,978.70 = 56,907.40 : x
  2. Step 2: Convert to fraction form
    91,899.40/137,978.70 = 56,907.40/x
  3. Step 3: Cross multiply
    91,899.40x = 137,978.70 × 56,907.40
  4. Step 4: Simplify right side
    91,899.40x = 7,852,009,072.38
  5. Step 5: Solve for x
    x = 7,852,009,072.38/91,899.40
  6. Step 6: Final answer
    x = 85,441.35

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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.