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Finding the Fourth Proportional to 98,544.60, 147,780.45 and 31,986.90

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Solution

The fourth proportional to 98,544.60, 147,780.45 and 31,986.90 is: 47,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,544.60 : 147,780.45 = 31,986.90 : x
  2. Step 2: Convert to fraction form
    98,544.60/147,780.45 = 31,986.90/x
  3. Step 3: Cross multiply
    98,544.60x = 147,780.45 × 31,986.90
  4. Step 4: Simplify right side
    98,544.60x = 4,727,038,476.11
  5. Step 5: Solve for x
    x = 4,727,038,476.11/98,544.60
  6. Step 6: Final answer
    x = 47,968.52

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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.