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Finding the Fourth Proportional to 98,679.93, 148,038.15 and 31,228.94

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Solution

The fourth proportional to 98,679.93, 148,038.15 and 31,228.94 is: 46,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,679.93 : 148,038.15 = 31,228.94 : x
  2. Step 2: Convert to fraction form
    98,679.93/148,038.15 = 31,228.94/x
  3. Step 3: Cross multiply
    98,679.93x = 148,038.15 × 31,228.94
  4. Step 4: Simplify right side
    98,679.93x = 4,623,073,982.89
  5. Step 5: Solve for x
    x = 4,623,073,982.89/98,679.93
  6. Step 6: Final answer
    x = 46,849.18

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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.