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Finding the Fourth Proportional to 105,775.20, 158,662.80 and 46,580.40

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Solution

The fourth proportional to 105,775.20, 158,662.80 and 46,580.40 is: 69,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.20 : 158,662.80 = 46,580.40 : x
  2. Step 2: Convert to fraction form
    105,775.20/158,662.80 = 46,580.40/x
  3. Step 3: Cross multiply
    105,775.20x = 158,662.80 × 46,580.40
  4. Step 4: Simplify right side
    105,775.20x = 7,390,576,689.12
  5. Step 5: Solve for x
    x = 7,390,576,689.12/105,775.20
  6. Step 6: Final answer
    x = 69,870.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.