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Finding the Fourth Proportional to 98,840, 148,274.49 and 31,349.53

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Solution

The fourth proportional to 98,840, 148,274.49 and 31,349.53 is: 47,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840 : 148,274.49 = 31,349.53 : x
  2. Step 2: Convert to fraction form
    98,840/148,274.49 = 31,349.53/x
  3. Step 3: Cross multiply
    98,840x = 148,274.49 × 31,349.53
  4. Step 4: Simplify right side
    98,840x = 4,648,335,572.49
  5. Step 5: Solve for x
    x = 4,648,335,572.49/98,840
  6. Step 6: Final answer
    x = 47,028.89

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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.