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Finding the Fourth Proportional to 98,365.10, 147,584.10 and 31,807.40

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Solution

The fourth proportional to 98,365.10, 147,584.10 and 31,807.40 is: 47,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,365.10 : 147,584.10 = 31,807.40 : x
  2. Step 2: Convert to fraction form
    98,365.10/147,584.10 = 31,807.40/x
  3. Step 3: Cross multiply
    98,365.10x = 147,584.10 × 31,807.40
  4. Step 4: Simplify right side
    98,365.10x = 4,694,266,502.34
  5. Step 5: Solve for x
    x = 4,694,266,502.34/98,365.10
  6. Step 6: Final answer
    x = 47,722.89

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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.